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Finding the Fourth Proportional to 1,264.26, 1,742.49 and 870.78

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Solution

The fourth proportional to 1,264.26, 1,742.49 and 870.78 is: 1,200.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.26 : 1,742.49 = 870.78 : x
  2. Step 2: Convert to fraction form
    1,264.26/1,742.49 = 870.78/x
  3. Step 3: Cross multiply
    1,264.26x = 1,742.49 × 870.78
  4. Step 4: Simplify right side
    1,264.26x = 1,517,325.44
  5. Step 5: Solve for x
    x = 1,517,325.44/1,264.26
  6. Step 6: Final answer
    x = 1,200.17

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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.