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Finding the Fourth Proportional to 1,334.80, 2,001.66 and 513.10

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Solution

The fourth proportional to 1,334.80, 2,001.66 and 513.10 is: 769.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.80 : 2,001.66 = 513.10 : x
  2. Step 2: Convert to fraction form
    1,334.80/2,001.66 = 513.10/x
  3. Step 3: Cross multiply
    1,334.80x = 2,001.66 × 513.10
  4. Step 4: Simplify right side
    1,334.80x = 1,027,051.75
  5. Step 5: Solve for x
    x = 1,027,051.75/1,334.80
  6. Step 6: Final answer
    x = 769.44

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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.