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Finding the Fourth Proportional to 723.75, 999.23 and 557.65

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Solution

The fourth proportional to 723.75, 999.23 and 557.65 is: 769.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.75 : 999.23 = 557.65 : x
  2. Step 2: Convert to fraction form
    723.75/999.23 = 557.65/x
  3. Step 3: Cross multiply
    723.75x = 999.23 × 557.65
  4. Step 4: Simplify right side
    723.75x = 557,220.61
  5. Step 5: Solve for x
    x = 557,220.61/723.75
  6. Step 6: Final answer
    x = 769.91

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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.