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Finding the Fourth Proportional to 723.61, 999.09 and 557.56

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Solution

The fourth proportional to 723.61, 999.09 and 557.56 is: 769.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.61 : 999.09 = 557.56 : x
  2. Step 2: Convert to fraction form
    723.61/999.09 = 557.56/x
  3. Step 3: Cross multiply
    723.61x = 999.09 × 557.56
  4. Step 4: Simplify right side
    723.61x = 557,052.62
  5. Step 5: Solve for x
    x = 557,052.62/723.61
  6. Step 6: Final answer
    x = 769.82

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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.