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Finding the Fourth Proportional to 1,061.94, 1,464.89 and 763.18

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Solution

The fourth proportional to 1,061.94, 1,464.89 and 763.18 is: 1,052.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.94 : 1,464.89 = 763.18 : x
  2. Step 2: Convert to fraction form
    1,061.94/1,464.89 = 763.18/x
  3. Step 3: Cross multiply
    1,061.94x = 1,464.89 × 763.18
  4. Step 4: Simplify right side
    1,061.94x = 1,117,974.75
  5. Step 5: Solve for x
    x = 1,117,974.75/1,061.94
  6. Step 6: Final answer
    x = 1,052.77

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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.