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Finding the Fourth Proportional to 1,032.92, 1,549.92 and 622.88

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Solution

The fourth proportional to 1,032.92, 1,549.92 and 622.88 is: 934.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.92 : 1,549.92 = 622.88 : x
  2. Step 2: Convert to fraction form
    1,032.92/1,549.92 = 622.88/x
  3. Step 3: Cross multiply
    1,032.92x = 1,549.92 × 622.88
  4. Step 4: Simplify right side
    1,032.92x = 965,414.17
  5. Step 5: Solve for x
    x = 965,414.17/1,032.92
  6. Step 6: Final answer
    x = 934.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.