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Finding the Fourth Proportional to 1,016.85, 1,524.81 and 400.08

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Solution

The fourth proportional to 1,016.85, 1,524.81 and 400.08 is: 599.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.85 : 1,524.81 = 400.08 : x
  2. Step 2: Convert to fraction form
    1,016.85/1,524.81 = 400.08/x
  3. Step 3: Cross multiply
    1,016.85x = 1,524.81 × 400.08
  4. Step 4: Simplify right side
    1,016.85x = 610,045.98
  5. Step 5: Solve for x
    x = 610,045.98/1,016.85
  6. Step 6: Final answer
    x = 599.94

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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.