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Finding the Fourth Proportional to 710.48, 980.42 and 675.92

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Solution

The fourth proportional to 710.48, 980.42 and 675.92 is: 932.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.48 : 980.42 = 675.92 : x
  2. Step 2: Convert to fraction form
    710.48/980.42 = 675.92/x
  3. Step 3: Cross multiply
    710.48x = 980.42 × 675.92
  4. Step 4: Simplify right side
    710.48x = 662,685.49
  5. Step 5: Solve for x
    x = 662,685.49/710.48
  6. Step 6: Final answer
    x = 932.73

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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.