Home / 1,261.82-1,741.16-702.14

Finding the Fourth Proportional to 1,261.82, 1,741.16 and 702.14

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Solution

The fourth proportional to 1,261.82, 1,741.16 and 702.14 is: 968.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.82 : 1,741.16 = 702.14 : x
  2. Step 2: Convert to fraction form
    1,261.82/1,741.16 = 702.14/x
  3. Step 3: Cross multiply
    1,261.82x = 1,741.16 × 702.14
  4. Step 4: Simplify right side
    1,261.82x = 1,222,538.08
  5. Step 5: Solve for x
    x = 1,222,538.08/1,261.82
  6. Step 6: Final answer
    x = 968.87

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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.