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Finding the Fourth Proportional to 883.62, 1,324.47 and 575.70

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Solution

The fourth proportional to 883.62, 1,324.47 and 575.70 is: 862.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.62 : 1,324.47 = 575.70 : x
  2. Step 2: Convert to fraction form
    883.62/1,324.47 = 575.70/x
  3. Step 3: Cross multiply
    883.62x = 1,324.47 × 575.70
  4. Step 4: Simplify right side
    883.62x = 762,497.38
  5. Step 5: Solve for x
    x = 762,497.38/883.62
  6. Step 6: Final answer
    x = 862.92

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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.