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Finding the Fourth Proportional to 1,254.34, 1,729.86 and 811.78

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Solution

The fourth proportional to 1,254.34, 1,729.86 and 811.78 is: 1,119.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.34 : 1,729.86 = 811.78 : x
  2. Step 2: Convert to fraction form
    1,254.34/1,729.86 = 811.78/x
  3. Step 3: Cross multiply
    1,254.34x = 1,729.86 × 811.78
  4. Step 4: Simplify right side
    1,254.34x = 1,404,257.10
  5. Step 5: Solve for x
    x = 1,404,257.10/1,254.34
  6. Step 6: Final answer
    x = 1,119.52

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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.