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Finding the Fourth Proportional to 935.18, 1,290.45 and 542.16

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Solution

The fourth proportional to 935.18, 1,290.45 and 542.16 is: 748.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.18 : 1,290.45 = 542.16 : x
  2. Step 2: Convert to fraction form
    935.18/1,290.45 = 542.16/x
  3. Step 3: Cross multiply
    935.18x = 1,290.45 × 542.16
  4. Step 4: Simplify right side
    935.18x = 699,627.57
  5. Step 5: Solve for x
    x = 699,627.57/935.18
  6. Step 6: Final answer
    x = 748.12

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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.