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Finding the Fourth Proportional to 1,253.26, 1,877.46 and 966.52

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Solution

The fourth proportional to 1,253.26, 1,877.46 and 966.52 is: 1,447.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.26 : 1,877.46 = 966.52 : x
  2. Step 2: Convert to fraction form
    1,253.26/1,877.46 = 966.52/x
  3. Step 3: Cross multiply
    1,253.26x = 1,877.46 × 966.52
  4. Step 4: Simplify right side
    1,253.26x = 1,814,602.64
  5. Step 5: Solve for x
    x = 1,814,602.64/1,253.26
  6. Step 6: Final answer
    x = 1,447.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.