Home / 1,261.40-1,738.08-841.28

Finding the Fourth Proportional to 1,261.40, 1,738.08 and 841.28

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Solution

The fourth proportional to 1,261.40, 1,738.08 and 841.28 is: 1,159.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.40 : 1,738.08 = 841.28 : x
  2. Step 2: Convert to fraction form
    1,261.40/1,738.08 = 841.28/x
  3. Step 3: Cross multiply
    1,261.40x = 1,738.08 × 841.28
  4. Step 4: Simplify right side
    1,261.40x = 1,462,211.94
  5. Step 5: Solve for x
    x = 1,462,211.94/1,261.40
  6. Step 6: Final answer
    x = 1,159.20

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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.