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Finding the Fourth Proportional to 1,025.74, 1,531.22 and 952.84

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Solution

The fourth proportional to 1,025.74, 1,531.22 and 952.84 is: 1,422.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.74 : 1,531.22 = 952.84 : x
  2. Step 2: Convert to fraction form
    1,025.74/1,531.22 = 952.84/x
  3. Step 3: Cross multiply
    1,025.74x = 1,531.22 × 952.84
  4. Step 4: Simplify right side
    1,025.74x = 1,459,007.66
  5. Step 5: Solve for x
    x = 1,459,007.66/1,025.74
  6. Step 6: Final answer
    x = 1,422.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.