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Finding the Fourth Proportional to 1,279.13, 1,763.55 and 946.98

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Solution

The fourth proportional to 1,279.13, 1,763.55 and 946.98 is: 1,305.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.13 : 1,763.55 = 946.98 : x
  2. Step 2: Convert to fraction form
    1,279.13/1,763.55 = 946.98/x
  3. Step 3: Cross multiply
    1,279.13x = 1,763.55 × 946.98
  4. Step 4: Simplify right side
    1,279.13x = 1,670,046.58
  5. Step 5: Solve for x
    x = 1,670,046.58/1,279.13
  6. Step 6: Final answer
    x = 1,305.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.