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Finding the Fourth Proportional to 748.82, 1,033.80 and 500.56

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Solution

The fourth proportional to 748.82, 1,033.80 and 500.56 is: 691.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.82 : 1,033.80 = 500.56 : x
  2. Step 2: Convert to fraction form
    748.82/1,033.80 = 500.56/x
  3. Step 3: Cross multiply
    748.82x = 1,033.80 × 500.56
  4. Step 4: Simplify right side
    748.82x = 517,478.93
  5. Step 5: Solve for x
    x = 517,478.93/748.82
  6. Step 6: Final answer
    x = 691.06

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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.