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Finding the Fourth Proportional to 733.64, 1,100.46 and 503.12

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Solution

The fourth proportional to 733.64, 1,100.46 and 503.12 is: 754.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.64 : 1,100.46 = 503.12 : x
  2. Step 2: Convert to fraction form
    733.64/1,100.46 = 503.12/x
  3. Step 3: Cross multiply
    733.64x = 1,100.46 × 503.12
  4. Step 4: Simplify right side
    733.64x = 553,663.44
  5. Step 5: Solve for x
    x = 553,663.44/733.64
  6. Step 6: Final answer
    x = 754.68

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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.