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Finding the Fourth Proportional to 1,194.54, 1,648.47 and 670.57

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Solution

The fourth proportional to 1,194.54, 1,648.47 and 670.57 is: 925.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.54 : 1,648.47 = 670.57 : x
  2. Step 2: Convert to fraction form
    1,194.54/1,648.47 = 670.57/x
  3. Step 3: Cross multiply
    1,194.54x = 1,648.47 × 670.57
  4. Step 4: Simplify right side
    1,194.54x = 1,105,412.92
  5. Step 5: Solve for x
    x = 1,105,412.92/1,194.54
  6. Step 6: Final answer
    x = 925.39

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Half 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.