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Finding the Fourth Proportional to 1,244.13, 1,864.94 and 551.18

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Solution

The fourth proportional to 1,244.13, 1,864.94 and 551.18 is: 826.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.13 : 1,864.94 = 551.18 : x
  2. Step 2: Convert to fraction form
    1,244.13/1,864.94 = 551.18/x
  3. Step 3: Cross multiply
    1,244.13x = 1,864.94 × 551.18
  4. Step 4: Simplify right side
    1,244.13x = 1,027,905.55
  5. Step 5: Solve for x
    x = 1,027,905.55/1,244.13
  6. Step 6: Final answer
    x = 826.20

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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.