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Finding the Fourth Proportional to 1,155.49, 1,589.95 and 1,123.20

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Solution

The fourth proportional to 1,155.49, 1,589.95 and 1,123.20 is: 1,545.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.49 : 1,589.95 = 1,123.20 : x
  2. Step 2: Convert to fraction form
    1,155.49/1,589.95 = 1,123.20/x
  3. Step 3: Cross multiply
    1,155.49x = 1,589.95 × 1,123.20
  4. Step 4: Simplify right side
    1,155.49x = 1,785,836.40
  5. Step 5: Solve for x
    x = 1,785,836.40/1,155.49
  6. Step 6: Final answer
    x = 1,545.52

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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.