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Finding the Fourth Proportional to 1,155.38, 1,732.20 and 599.49

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Solution

The fourth proportional to 1,155.38, 1,732.20 and 599.49 is: 898.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.38 : 1,732.20 = 599.49 : x
  2. Step 2: Convert to fraction form
    1,155.38/1,732.20 = 599.49/x
  3. Step 3: Cross multiply
    1,155.38x = 1,732.20 × 599.49
  4. Step 4: Simplify right side
    1,155.38x = 1,038,436.58
  5. Step 5: Solve for x
    x = 1,038,436.58/1,155.38
  6. Step 6: Final answer
    x = 898.78

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Why These Related Problems?

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