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Finding the Fourth Proportional to 710.92, 973.25 and 706.12

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Solution

The fourth proportional to 710.92, 973.25 and 706.12 is: 966.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.92 : 973.25 = 706.12 : x
  2. Step 2: Convert to fraction form
    710.92/973.25 = 706.12/x
  3. Step 3: Cross multiply
    710.92x = 973.25 × 706.12
  4. Step 4: Simplify right side
    710.92x = 687,231.29
  5. Step 5: Solve for x
    x = 687,231.29/710.92
  6. Step 6: Final answer
    x = 966.68

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Why These Related Problems?

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