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Finding the Fourth Proportional to 728.77, 1,005.47 and 414.01

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Solution

The fourth proportional to 728.77, 1,005.47 and 414.01 is: 571.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.77 : 1,005.47 = 414.01 : x
  2. Step 2: Convert to fraction form
    728.77/1,005.47 = 414.01/x
  3. Step 3: Cross multiply
    728.77x = 1,005.47 × 414.01
  4. Step 4: Simplify right side
    728.77x = 416,273.16
  5. Step 5: Solve for x
    x = 416,273.16/728.77
  6. Step 6: Final answer
    x = 571.20

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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.