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Finding the Fourth Proportional to 935.26, 1,290.57 and 542.21

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Solution

The fourth proportional to 935.26, 1,290.57 and 542.21 is: 748.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.26 : 1,290.57 = 542.21 : x
  2. Step 2: Convert to fraction form
    935.26/1,290.57 = 542.21/x
  3. Step 3: Cross multiply
    935.26x = 1,290.57 × 542.21
  4. Step 4: Simplify right side
    935.26x = 699,751.47
  5. Step 5: Solve for x
    x = 699,751.47/935.26
  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.