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Finding the Fourth Proportional to 920.05, 1,269.71 and 542.15

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Solution

The fourth proportional to 920.05, 1,269.71 and 542.15 is: 748.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.05 : 1,269.71 = 542.15 : x
  2. Step 2: Convert to fraction form
    920.05/1,269.71 = 542.15/x
  3. Step 3: Cross multiply
    920.05x = 1,269.71 × 542.15
  4. Step 4: Simplify right side
    920.05x = 688,371.01
  5. Step 5: Solve for x
    x = 688,371.01/920.05
  6. Step 6: Final answer
    x = 748.19

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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.