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Finding the Fourth Proportional to 704.80, 972.16 and 539.04

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Solution

The fourth proportional to 704.80, 972.16 and 539.04 is: 743.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.80 : 972.16 = 539.04 : x
  2. Step 2: Convert to fraction form
    704.80/972.16 = 539.04/x
  3. Step 3: Cross multiply
    704.80x = 972.16 × 539.04
  4. Step 4: Simplify right side
    704.80x = 524,033.13
  5. Step 5: Solve for x
    x = 524,033.13/704.80
  6. Step 6: Final answer
    x = 743.52

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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.