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Finding the Fourth Proportional to 1,137.14, 1,702.38 and 864.32

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Solution

The fourth proportional to 1,137.14, 1,702.38 and 864.32 is: 1,293.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.14 : 1,702.38 = 864.32 : x
  2. Step 2: Convert to fraction form
    1,137.14/1,702.38 = 864.32/x
  3. Step 3: Cross multiply
    1,137.14x = 1,702.38 × 864.32
  4. Step 4: Simplify right side
    1,137.14x = 1,471,401.08
  5. Step 5: Solve for x
    x = 1,471,401.08/1,137.14
  6. Step 6: Final answer
    x = 1,293.95

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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.