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Finding the Fourth Proportional to 1,251.13, 1,714.03 and 1,204.40

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Solution

The fourth proportional to 1,251.13, 1,714.03 and 1,204.40 is: 1,650.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.13 : 1,714.03 = 1,204.40 : x
  2. Step 2: Convert to fraction form
    1,251.13/1,714.03 = 1,204.40/x
  3. Step 3: Cross multiply
    1,251.13x = 1,714.03 × 1,204.40
  4. Step 4: Simplify right side
    1,251.13x = 2,064,377.73
  5. Step 5: Solve for x
    x = 2,064,377.73/1,251.13
  6. Step 6: Final answer
    x = 1,650.01

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.