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Finding the Fourth Proportional to 710.98, 980.71 and 553.43

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Solution

The fourth proportional to 710.98, 980.71 and 553.43 is: 763.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.98 : 980.71 = 553.43 : x
  2. Step 2: Convert to fraction form
    710.98/980.71 = 553.43/x
  3. Step 3: Cross multiply
    710.98x = 980.71 × 553.43
  4. Step 4: Simplify right side
    710.98x = 542,755.40
  5. Step 5: Solve for x
    x = 542,755.40/710.98
  6. Step 6: Final answer
    x = 763.39

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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.