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Finding the Fourth Proportional to 1,281.39, 1,923.38 and 864.88

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Solution

The fourth proportional to 1,281.39, 1,923.38 and 864.88 is: 1,298.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.39 : 1,923.38 = 864.88 : x
  2. Step 2: Convert to fraction form
    1,281.39/1,923.38 = 864.88/x
  3. Step 3: Cross multiply
    1,281.39x = 1,923.38 × 864.88
  4. Step 4: Simplify right side
    1,281.39x = 1,663,487.00
  5. Step 5: Solve for x
    x = 1,663,487.00/1,281.39
  6. Step 6: Final answer
    x = 1,298.19

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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.