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Finding the Fourth Proportional to 748.38, 1,032.74 and 468.72

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Solution

The fourth proportional to 748.38, 1,032.74 and 468.72 is: 646.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.38 : 1,032.74 = 468.72 : x
  2. Step 2: Convert to fraction form
    748.38/1,032.74 = 468.72/x
  3. Step 3: Cross multiply
    748.38x = 1,032.74 × 468.72
  4. Step 4: Simplify right side
    748.38x = 484,065.89
  5. Step 5: Solve for x
    x = 484,065.89/748.38
  6. Step 6: Final answer
    x = 646.82

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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.