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Finding the Fourth Proportional to 714.72, 985.06 and 557.08

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Solution

The fourth proportional to 714.72, 985.06 and 557.08 is: 767.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.72 : 985.06 = 557.08 : x
  2. Step 2: Convert to fraction form
    714.72/985.06 = 557.08/x
  3. Step 3: Cross multiply
    714.72x = 985.06 × 557.08
  4. Step 4: Simplify right side
    714.72x = 548,755.46
  5. Step 5: Solve for x
    x = 548,755.46/714.72
  6. Step 6: Final answer
    x = 767.79

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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.