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Finding the Fourth Proportional to 1,016.41, 1,524.07 and 400.09

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Solution

The fourth proportional to 1,016.41, 1,524.07 and 400.09 is: 599.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.41 : 1,524.07 = 400.09 : x
  2. Step 2: Convert to fraction form
    1,016.41/1,524.07 = 400.09/x
  3. Step 3: Cross multiply
    1,016.41x = 1,524.07 × 400.09
  4. Step 4: Simplify right side
    1,016.41x = 609,756.55
  5. Step 5: Solve for x
    x = 609,756.55/1,016.41
  6. Step 6: Final answer
    x = 599.91

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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.