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Finding the Fourth Proportional to 748.32, 1,033.20 and 486.69

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Solution

The fourth proportional to 748.32, 1,033.20 and 486.69 is: 671.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.32 : 1,033.20 = 486.69 : x
  2. Step 2: Convert to fraction form
    748.32/1,033.20 = 486.69/x
  3. Step 3: Cross multiply
    748.32x = 1,033.20 × 486.69
  4. Step 4: Simplify right side
    748.32x = 502,848.11
  5. Step 5: Solve for x
    x = 502,848.11/748.32
  6. Step 6: Final answer
    x = 671.97

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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.