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Finding the Fourth Proportional to 1,016.02, 1,524.12 and 399.77

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Solution

The fourth proportional to 1,016.02, 1,524.12 and 399.77 is: 599.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.02 : 1,524.12 = 399.77 : x
  2. Step 2: Convert to fraction form
    1,016.02/1,524.12 = 399.77/x
  3. Step 3: Cross multiply
    1,016.02x = 1,524.12 × 399.77
  4. Step 4: Simplify right side
    1,016.02x = 609,297.45
  5. Step 5: Solve for x
    x = 609,297.45/1,016.02
  6. Step 6: Final answer
    x = 599.69

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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.