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Finding the Fourth Proportional to 1,154.54, 1,731.20 and 660.95

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Solution

The fourth proportional to 1,154.54, 1,731.20 and 660.95 is: 991.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.54 : 1,731.20 = 660.95 : x
  2. Step 2: Convert to fraction form
    1,154.54/1,731.20 = 660.95/x
  3. Step 3: Cross multiply
    1,154.54x = 1,731.20 × 660.95
  4. Step 4: Simplify right side
    1,154.54x = 1,144,224.68
  5. Step 5: Solve for x
    x = 1,144,224.68/1,154.54
  6. Step 6: Final answer
    x = 991.07

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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.