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Finding the Fourth Proportional to 865.19, 1,193.59 and 585.33

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Solution

The fourth proportional to 865.19, 1,193.59 and 585.33 is: 807.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.19 : 1,193.59 = 585.33 : x
  2. Step 2: Convert to fraction form
    865.19/1,193.59 = 585.33/x
  3. Step 3: Cross multiply
    865.19x = 1,193.59 × 585.33
  4. Step 4: Simplify right side
    865.19x = 698,641.11
  5. Step 5: Solve for x
    x = 698,641.11/865.19
  6. Step 6: Final answer
    x = 807.50

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.