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Finding the Fourth Proportional to 883.74, 1,324.58 and 575.76

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Solution

The fourth proportional to 883.74, 1,324.58 and 575.76 is: 862.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.74 : 1,324.58 = 575.76 : x
  2. Step 2: Convert to fraction form
    883.74/1,324.58 = 575.76/x
  3. Step 3: Cross multiply
    883.74x = 1,324.58 × 575.76
  4. Step 4: Simplify right side
    883.74x = 762,637.30
  5. Step 5: Solve for x
    x = 762,637.30/883.74
  6. Step 6: Final answer
    x = 862.97

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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.