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Finding the Fourth Proportional to 1,018.92, 1,527.72 and 864.18

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Solution

The fourth proportional to 1,018.92, 1,527.72 and 864.18 is: 1,295.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.92 : 1,527.72 = 864.18 : x
  2. Step 2: Convert to fraction form
    1,018.92/1,527.72 = 864.18/x
  3. Step 3: Cross multiply
    1,018.92x = 1,527.72 × 864.18
  4. Step 4: Simplify right side
    1,018.92x = 1,320,225.07
  5. Step 5: Solve for x
    x = 1,320,225.07/1,018.92
  6. Step 6: Final answer
    x = 1,295.71

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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.