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Finding the Fourth Proportional to 1,291.40, 1,781.68 and 793.76

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Solution

The fourth proportional to 1,291.40, 1,781.68 and 793.76 is: 1,095.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.40 : 1,781.68 = 793.76 : x
  2. Step 2: Convert to fraction form
    1,291.40/1,781.68 = 793.76/x
  3. Step 3: Cross multiply
    1,291.40x = 1,781.68 × 793.76
  4. Step 4: Simplify right side
    1,291.40x = 1,414,226.32
  5. Step 5: Solve for x
    x = 1,414,226.32/1,291.40
  6. Step 6: Final answer
    x = 1,095.11

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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.