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Finding the Fourth Proportional to 704, 971.84 and 537.92

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Solution

The fourth proportional to 704, 971.84 and 537.92 is: 742.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    704 : 971.84 = 537.92 : x
  2. Step 2: Convert to fraction form
    704/971.84 = 537.92/x
  3. Step 3: Cross multiply
    704x = 971.84 × 537.92
  4. Step 4: Simplify right side
    704x = 522,772.17
  5. Step 5: Solve for x
    x = 522,772.17/704
  6. Step 6: Final answer
    x = 742.57

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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.