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Finding the Fourth Proportional to 1,123.38, 1,685.41 and 575.95

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Solution

The fourth proportional to 1,123.38, 1,685.41 and 575.95 is: 864.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.38 : 1,685.41 = 575.95 : x
  2. Step 2: Convert to fraction form
    1,123.38/1,685.41 = 575.95/x
  3. Step 3: Cross multiply
    1,123.38x = 1,685.41 × 575.95
  4. Step 4: Simplify right side
    1,123.38x = 970,711.89
  5. Step 5: Solve for x
    x = 970,711.89/1,123.38
  6. Step 6: Final answer
    x = 864.10

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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.