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Finding the Fourth Proportional to 1,033.13, 1,547.89 and 860.92

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Solution

The fourth proportional to 1,033.13, 1,547.89 and 860.92 is: 1,289.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.13 : 1,547.89 = 860.92 : x
  2. Step 2: Convert to fraction form
    1,033.13/1,547.89 = 860.92/x
  3. Step 3: Cross multiply
    1,033.13x = 1,547.89 × 860.92
  4. Step 4: Simplify right side
    1,033.13x = 1,332,609.46
  5. Step 5: Solve for x
    x = 1,332,609.46/1,033.13
  6. Step 6: Final answer
    x = 1,289.88

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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.