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Finding the Fourth Proportional to 935.38, 1,291.29 and 725.08

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Solution

The fourth proportional to 935.38, 1,291.29 and 725.08 is: 1,000.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.38 : 1,291.29 = 725.08 : x
  2. Step 2: Convert to fraction form
    935.38/1,291.29 = 725.08/x
  3. Step 3: Cross multiply
    935.38x = 1,291.29 × 725.08
  4. Step 4: Simplify right side
    935.38x = 936,288.55
  5. Step 5: Solve for x
    x = 936,288.55/935.38
  6. Step 6: Final answer
    x = 1,000.97

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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.