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Finding the Fourth Proportional to 1,281.41, 1,768.26 and 721.90

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Solution

The fourth proportional to 1,281.41, 1,768.26 and 721.90 is: 996.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.41 : 1,768.26 = 721.90 : x
  2. Step 2: Convert to fraction form
    1,281.41/1,768.26 = 721.90/x
  3. Step 3: Cross multiply
    1,281.41x = 1,768.26 × 721.90
  4. Step 4: Simplify right side
    1,281.41x = 1,276,506.89
  5. Step 5: Solve for x
    x = 1,276,506.89/1,281.41
  6. Step 6: Final answer
    x = 996.17

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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.