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Finding the Fourth Proportional to 733.74, 1,099.53 and 656.70

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Solution

The fourth proportional to 733.74, 1,099.53 and 656.70 is: 984.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.74 : 1,099.53 = 656.70 : x
  2. Step 2: Convert to fraction form
    733.74/1,099.53 = 656.70/x
  3. Step 3: Cross multiply
    733.74x = 1,099.53 × 656.70
  4. Step 4: Simplify right side
    733.74x = 722,061.35
  5. Step 5: Solve for x
    x = 722,061.35/733.74
  6. Step 6: Final answer
    x = 984.08

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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.