Home / 1,261.78-1,741.20-702.23

Finding the Fourth Proportional to 1,261.78, 1,741.20 and 702.23

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Solution

The fourth proportional to 1,261.78, 1,741.20 and 702.23 is: 969.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.78 : 1,741.20 = 702.23 : x
  2. Step 2: Convert to fraction form
    1,261.78/1,741.20 = 702.23/x
  3. Step 3: Cross multiply
    1,261.78x = 1,741.20 × 702.23
  4. Step 4: Simplify right side
    1,261.78x = 1,222,725.28
  5. Step 5: Solve for x
    x = 1,222,725.28/1,261.78
  6. Step 6: Final answer
    x = 969.05

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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.