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Finding the Fourth Proportional to 1,016.01, 1,523.70 and 399.87

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Solution

The fourth proportional to 1,016.01, 1,523.70 and 399.87 is: 599.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.01 : 1,523.70 = 399.87 : x
  2. Step 2: Convert to fraction form
    1,016.01/1,523.70 = 399.87/x
  3. Step 3: Cross multiply
    1,016.01x = 1,523.70 × 399.87
  4. Step 4: Simplify right side
    1,016.01x = 609,281.92
  5. Step 5: Solve for x
    x = 609,281.92/1,016.01
  6. Step 6: Final answer
    x = 599.68

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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.