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Finding the Fourth Proportional to 1,242.66, 1,714.69 and 800.61

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Solution

The fourth proportional to 1,242.66, 1,714.69 and 800.61 is: 1,104.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.66 : 1,714.69 = 800.61 : x
  2. Step 2: Convert to fraction form
    1,242.66/1,714.69 = 800.61/x
  3. Step 3: Cross multiply
    1,242.66x = 1,714.69 × 800.61
  4. Step 4: Simplify right side
    1,242.66x = 1,372,797.96
  5. Step 5: Solve for x
    x = 1,372,797.96/1,242.66
  6. Step 6: Final answer
    x = 1,104.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.