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Finding the Fourth Proportional to 1,017.06, 1,524.92 and 400.38

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Solution

The fourth proportional to 1,017.06, 1,524.92 and 400.38 is: 600.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.06 : 1,524.92 = 400.38 : x
  2. Step 2: Convert to fraction form
    1,017.06/1,524.92 = 400.38/x
  3. Step 3: Cross multiply
    1,017.06x = 1,524.92 × 400.38
  4. Step 4: Simplify right side
    1,017.06x = 610,545.47
  5. Step 5: Solve for x
    x = 610,545.47/1,017.06
  6. Step 6: Final answer
    x = 600.30

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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.