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Finding the Fourth Proportional to 1,016.71, 1,524.02 and 400.16

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Solution

The fourth proportional to 1,016.71, 1,524.02 and 400.16 is: 599.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.71 : 1,524.02 = 400.16 : x
  2. Step 2: Convert to fraction form
    1,016.71/1,524.02 = 400.16/x
  3. Step 3: Cross multiply
    1,016.71x = 1,524.02 × 400.16
  4. Step 4: Simplify right side
    1,016.71x = 609,853.65
  5. Step 5: Solve for x
    x = 609,853.65/1,016.71
  6. Step 6: Final answer
    x = 599.83

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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.