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Finding the Fourth Proportional to 1,032.60, 1,425.10 and 659.92

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Solution

The fourth proportional to 1,032.60, 1,425.10 and 659.92 is: 910.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.60 : 1,425.10 = 659.92 : x
  2. Step 2: Convert to fraction form
    1,032.60/1,425.10 = 659.92/x
  3. Step 3: Cross multiply
    1,032.60x = 1,425.10 × 659.92
  4. Step 4: Simplify right side
    1,032.60x = 940,451.99
  5. Step 5: Solve for x
    x = 940,451.99/1,032.60
  6. Step 6: Final answer
    x = 910.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.