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Finding the Fourth Proportional to 1,252.59, 1,877.45 and 674.25

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Solution

The fourth proportional to 1,252.59, 1,877.45 and 674.25 is: 1,010.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.59 : 1,877.45 = 674.25 : x
  2. Step 2: Convert to fraction form
    1,252.59/1,877.45 = 674.25/x
  3. Step 3: Cross multiply
    1,252.59x = 1,877.45 × 674.25
  4. Step 4: Simplify right side
    1,252.59x = 1,265,867.29
  5. Step 5: Solve for x
    x = 1,265,867.29/1,252.59
  6. Step 6: Final answer
    x = 1,010.60

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Why These Related Problems?

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