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Finding the Fourth Proportional to 1,494.29, 2,061.95 and 864.71

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Solution

The fourth proportional to 1,494.29, 2,061.95 and 864.71 is: 1,193.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.29 : 2,061.95 = 864.71 : x
  2. Step 2: Convert to fraction form
    1,494.29/2,061.95 = 864.71/x
  3. Step 3: Cross multiply
    1,494.29x = 2,061.95 × 864.71
  4. Step 4: Simplify right side
    1,494.29x = 1,782,974.15
  5. Step 5: Solve for x
    x = 1,782,974.15/1,494.29
  6. Step 6: Final answer
    x = 1,193.20

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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.