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Finding the Fourth Proportional to 748.05, 1,032.28 and 411.95

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Solution

The fourth proportional to 748.05, 1,032.28 and 411.95 is: 568.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.05 : 1,032.28 = 411.95 : x
  2. Step 2: Convert to fraction form
    748.05/1,032.28 = 411.95/x
  3. Step 3: Cross multiply
    748.05x = 1,032.28 × 411.95
  4. Step 4: Simplify right side
    748.05x = 425,247.75
  5. Step 5: Solve for x
    x = 425,247.75/748.05
  6. Step 6: Final answer
    x = 568.48

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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.