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Finding the Fourth Proportional to 1,334.10, 2,001.98 and 512.46

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Solution

The fourth proportional to 1,334.10, 2,001.98 and 512.46 is: 769.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.10 : 2,001.98 = 512.46 : x
  2. Step 2: Convert to fraction form
    1,334.10/2,001.98 = 512.46/x
  3. Step 3: Cross multiply
    1,334.10x = 2,001.98 × 512.46
  4. Step 4: Simplify right side
    1,334.10x = 1,025,934.67
  5. Step 5: Solve for x
    x = 1,025,934.67/1,334.10
  6. Step 6: Final answer
    x = 769.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.