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Finding the Fourth Proportional to 1,025.92, 1,414.82 and 693.72

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Solution

The fourth proportional to 1,025.92, 1,414.82 and 693.72 is: 956.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.92 : 1,414.82 = 693.72 : x
  2. Step 2: Convert to fraction form
    1,025.92/1,414.82 = 693.72/x
  3. Step 3: Cross multiply
    1,025.92x = 1,414.82 × 693.72
  4. Step 4: Simplify right side
    1,025.92x = 981,488.93
  5. Step 5: Solve for x
    x = 981,488.93/1,025.92
  6. Step 6: Final answer
    x = 956.69

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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.