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Finding the Fourth Proportional to 932.97, 1,399.28 and 471.02

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Solution

The fourth proportional to 932.97, 1,399.28 and 471.02 is: 706.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.97 : 1,399.28 = 471.02 : x
  2. Step 2: Convert to fraction form
    932.97/1,399.28 = 471.02/x
  3. Step 3: Cross multiply
    932.97x = 1,399.28 × 471.02
  4. Step 4: Simplify right side
    932.97x = 659,079.51
  5. Step 5: Solve for x
    x = 659,079.51/932.97
  6. Step 6: Final answer
    x = 706.43

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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.