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Finding the Fourth Proportional to 1,061.96, 1,464.18 and 864.92

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Solution

The fourth proportional to 1,061.96, 1,464.18 and 864.92 is: 1,192.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.96 : 1,464.18 = 864.92 : x
  2. Step 2: Convert to fraction form
    1,061.96/1,464.18 = 864.92/x
  3. Step 3: Cross multiply
    1,061.96x = 1,464.18 × 864.92
  4. Step 4: Simplify right side
    1,061.96x = 1,266,398.57
  5. Step 5: Solve for x
    x = 1,266,398.57/1,061.96
  6. Step 6: Final answer
    x = 1,192.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.