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Finding the Fourth Proportional to 709.92, 971.16 and 707.04

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Solution

The fourth proportional to 709.92, 971.16 and 707.04 is: 967.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.92 : 971.16 = 707.04 : x
  2. Step 2: Convert to fraction form
    709.92/971.16 = 707.04/x
  3. Step 3: Cross multiply
    709.92x = 971.16 × 707.04
  4. Step 4: Simplify right side
    709.92x = 686,648.97
  5. Step 5: Solve for x
    x = 686,648.97/709.92
  6. Step 6: Final answer
    x = 967.22

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.