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Finding the Fourth Proportional to 1,115.28, 1,661.13 and 1,056.72

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Solution

The fourth proportional to 1,115.28, 1,661.13 and 1,056.72 is: 1,573.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.28 : 1,661.13 = 1,056.72 : x
  2. Step 2: Convert to fraction form
    1,115.28/1,661.13 = 1,056.72/x
  3. Step 3: Cross multiply
    1,115.28x = 1,661.13 × 1,056.72
  4. Step 4: Simplify right side
    1,115.28x = 1,755,349.29
  5. Step 5: Solve for x
    x = 1,755,349.29/1,115.28
  6. Step 6: Final answer
    x = 1,573.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.