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Finding the Fourth Proportional to 1,030.92, 1,546.23 and 483.27

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Solution

The fourth proportional to 1,030.92, 1,546.23 and 483.27 is: 724.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.92 : 1,546.23 = 483.27 : x
  2. Step 2: Convert to fraction form
    1,030.92/1,546.23 = 483.27/x
  3. Step 3: Cross multiply
    1,030.92x = 1,546.23 × 483.27
  4. Step 4: Simplify right side
    1,030.92x = 747,246.57
  5. Step 5: Solve for x
    x = 747,246.57/1,030.92
  6. Step 6: Final answer
    x = 724.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.