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Finding the Fourth Proportional to 732.88, 1,099.80 and 562.96

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Solution

The fourth proportional to 732.88, 1,099.80 and 562.96 is: 844.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.88 : 1,099.80 = 562.96 : x
  2. Step 2: Convert to fraction form
    732.88/1,099.80 = 562.96/x
  3. Step 3: Cross multiply
    732.88x = 1,099.80 × 562.96
  4. Step 4: Simplify right side
    732.88x = 619,143.41
  5. Step 5: Solve for x
    x = 619,143.41/732.88
  6. Step 6: Final answer
    x = 844.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.