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Finding the Fourth Proportional to 716.80, 982.40 and 707.20

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Solution

The fourth proportional to 716.80, 982.40 and 707.20 is: 969.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.80 : 982.40 = 707.20 : x
  2. Step 2: Convert to fraction form
    716.80/982.40 = 707.20/x
  3. Step 3: Cross multiply
    716.80x = 982.40 × 707.20
  4. Step 4: Simplify right side
    716.80x = 694,753.28
  5. Step 5: Solve for x
    x = 694,753.28/716.80
  6. Step 6: Final answer
    x = 969.24

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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.