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Finding the Fourth Proportional to 748.58, 1,033.47 and 500.72

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Solution

The fourth proportional to 748.58, 1,033.47 and 500.72 is: 691.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.58 : 1,033.47 = 500.72 : x
  2. Step 2: Convert to fraction form
    748.58/1,033.47 = 500.72/x
  3. Step 3: Cross multiply
    748.58x = 1,033.47 × 500.72
  4. Step 4: Simplify right side
    748.58x = 517,479.10
  5. Step 5: Solve for x
    x = 517,479.10/748.58
  6. Step 6: Final answer
    x = 691.28

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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.