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Finding the Fourth Proportional to 865.89, 1,298.55 and 432.75

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Solution

The fourth proportional to 865.89, 1,298.55 and 432.75 is: 648.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.89 : 1,298.55 = 432.75 : x
  2. Step 2: Convert to fraction form
    865.89/1,298.55 = 432.75/x
  3. Step 3: Cross multiply
    865.89x = 1,298.55 × 432.75
  4. Step 4: Simplify right side
    865.89x = 561,947.51
  5. Step 5: Solve for x
    x = 561,947.51/865.89
  6. Step 6: Final answer
    x = 648.98

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.