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Finding the Fourth Proportional to 1,017.92, 1,524.42 and 1,000.10

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Solution

The fourth proportional to 1,017.92, 1,524.42 and 1,000.10 is: 1,497.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.92 : 1,524.42 = 1,000.10 : x
  2. Step 2: Convert to fraction form
    1,017.92/1,524.42 = 1,000.10/x
  3. Step 3: Cross multiply
    1,017.92x = 1,524.42 × 1,000.10
  4. Step 4: Simplify right side
    1,017.92x = 1,524,572.44
  5. Step 5: Solve for x
    x = 1,524,572.44/1,017.92
  6. Step 6: Final answer
    x = 1,497.73

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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.