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Finding the Fourth Proportional to 935.97, 1,291.47 and 542.91

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Solution

The fourth proportional to 935.97, 1,291.47 and 542.91 is: 749.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.97 : 1,291.47 = 542.91 : x
  2. Step 2: Convert to fraction form
    935.97/1,291.47 = 542.91/x
  3. Step 3: Cross multiply
    935.97x = 1,291.47 × 542.91
  4. Step 4: Simplify right side
    935.97x = 701,151.98
  5. Step 5: Solve for x
    x = 701,151.98/935.97
  6. Step 6: Final answer
    x = 749.12

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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.