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Finding the Fourth Proportional to 1,077.87, 1,617.62 and 864.03

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Solution

The fourth proportional to 1,077.87, 1,617.62 and 864.03 is: 1,296.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.87 : 1,617.62 = 864.03 : x
  2. Step 2: Convert to fraction form
    1,077.87/1,617.62 = 864.03/x
  3. Step 3: Cross multiply
    1,077.87x = 1,617.62 × 864.03
  4. Step 4: Simplify right side
    1,077.87x = 1,397,678.41
  5. Step 5: Solve for x
    x = 1,397,678.41/1,077.87
  6. Step 6: Final answer
    x = 1,296.70

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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.