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Finding the Fourth Proportional to 1,014.49, 1,520.99 and 397.88

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Solution

The fourth proportional to 1,014.49, 1,520.99 and 397.88 is: 596.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.49 : 1,520.99 = 397.88 : x
  2. Step 2: Convert to fraction form
    1,014.49/1,520.99 = 397.88/x
  3. Step 3: Cross multiply
    1,014.49x = 1,520.99 × 397.88
  4. Step 4: Simplify right side
    1,014.49x = 605,169.10
  5. Step 5: Solve for x
    x = 605,169.10/1,014.49
  6. Step 6: Final answer
    x = 596.52

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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.