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Finding the Fourth Proportional to 1,036, 1,552.18 and 863.77

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Solution

The fourth proportional to 1,036, 1,552.18 and 863.77 is: 1,294.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036 : 1,552.18 = 863.77 : x
  2. Step 2: Convert to fraction form
    1,036/1,552.18 = 863.77/x
  3. Step 3: Cross multiply
    1,036x = 1,552.18 × 863.77
  4. Step 4: Simplify right side
    1,036x = 1,340,726.52
  5. Step 5: Solve for x
    x = 1,340,726.52/1,036
  6. Step 6: Final answer
    x = 1,294.14

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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.