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Finding the Fourth Proportional to 935.08, 1,290.54 and 542.13

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Solution

The fourth proportional to 935.08, 1,290.54 and 542.13 is: 748.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.08 : 1,290.54 = 542.13 : x
  2. Step 2: Convert to fraction form
    935.08/1,290.54 = 542.13/x
  3. Step 3: Cross multiply
    935.08x = 1,290.54 × 542.13
  4. Step 4: Simplify right side
    935.08x = 699,640.45
  5. Step 5: Solve for x
    x = 699,640.45/935.08
  6. Step 6: Final answer
    x = 748.21

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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.