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Finding the Fourth Proportional to 1,254.61, 1,729.70 and 1,029.71

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Solution

The fourth proportional to 1,254.61, 1,729.70 and 1,029.71 is: 1,419.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.61 : 1,729.70 = 1,029.71 : x
  2. Step 2: Convert to fraction form
    1,254.61/1,729.70 = 1,029.71/x
  3. Step 3: Cross multiply
    1,254.61x = 1,729.70 × 1,029.71
  4. Step 4: Simplify right side
    1,254.61x = 1,781,088.56
  5. Step 5: Solve for x
    x = 1,781,088.56/1,254.61
  6. Step 6: Final answer
    x = 1,419.64

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