Home / 1,261.74-1,741.10-702.17

Finding the Fourth Proportional to 1,261.74, 1,741.10 and 702.17

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Solution

The fourth proportional to 1,261.74, 1,741.10 and 702.17 is: 968.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.74 : 1,741.10 = 702.17 : x
  2. Step 2: Convert to fraction form
    1,261.74/1,741.10 = 702.17/x
  3. Step 3: Cross multiply
    1,261.74x = 1,741.10 × 702.17
  4. Step 4: Simplify right side
    1,261.74x = 1,222,535.97
  5. Step 5: Solve for x
    x = 1,222,535.97/1,261.74
  6. Step 6: Final answer
    x = 968.93

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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.