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Finding the Fourth Proportional to 1,155.76, 1,732.13 and 1,009.14

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Solution

The fourth proportional to 1,155.76, 1,732.13 and 1,009.14 is: 1,512.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.76 : 1,732.13 = 1,009.14 : x
  2. Step 2: Convert to fraction form
    1,155.76/1,732.13 = 1,009.14/x
  3. Step 3: Cross multiply
    1,155.76x = 1,732.13 × 1,009.14
  4. Step 4: Simplify right side
    1,155.76x = 1,747,959.15
  5. Step 5: Solve for x
    x = 1,747,959.15/1,155.76
  6. Step 6: Final answer
    x = 1,512.39

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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.