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Finding the Fourth Proportional to 1,031.33, 1,544.00 and 925.78

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Solution

The fourth proportional to 1,031.33, 1,544.00 and 925.78 is: 1,385.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.33 : 1,544.00 = 925.78 : x
  2. Step 2: Convert to fraction form
    1,031.33/1,544.00 = 925.78/x
  3. Step 3: Cross multiply
    1,031.33x = 1,544.00 × 925.78
  4. Step 4: Simplify right side
    1,031.33x = 1,429,398.73
  5. Step 5: Solve for x
    x = 1,429,398.73/1,031.33
  6. Step 6: Final answer
    x = 1,385.97

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