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Finding the Fourth Proportional to 1,335.49, 2,003.24 and 514.15

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Solution

The fourth proportional to 1,335.49, 2,003.24 and 514.15 is: 771.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.49 : 2,003.24 = 514.15 : x
  2. Step 2: Convert to fraction form
    1,335.49/2,003.24 = 514.15/x
  3. Step 3: Cross multiply
    1,335.49x = 2,003.24 × 514.15
  4. Step 4: Simplify right side
    1,335.49x = 1,029,965.85
  5. Step 5: Solve for x
    x = 1,029,965.85/1,335.49
  6. Step 6: Final answer
    x = 771.23

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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.