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Finding the Fourth Proportional to 1,279.73, 1,767.13 and 808.45

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Solution

The fourth proportional to 1,279.73, 1,767.13 and 808.45 is: 1,116.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.73 : 1,767.13 = 808.45 : x
  2. Step 2: Convert to fraction form
    1,279.73/1,767.13 = 808.45/x
  3. Step 3: Cross multiply
    1,279.73x = 1,767.13 × 808.45
  4. Step 4: Simplify right side
    1,279.73x = 1,428,629.81
  5. Step 5: Solve for x
    x = 1,428,629.81/1,279.73
  6. Step 6: Final answer
    x = 1,116.35

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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.