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Finding the Fourth Proportional to 1,279.05, 1,764.63 and 948.03

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Solution

The fourth proportional to 1,279.05, 1,764.63 and 948.03 is: 1,307.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.05 : 1,764.63 = 948.03 : x
  2. Step 2: Convert to fraction form
    1,279.05/1,764.63 = 948.03/x
  3. Step 3: Cross multiply
    1,279.05x = 1,764.63 × 948.03
  4. Step 4: Simplify right side
    1,279.05x = 1,672,922.18
  5. Step 5: Solve for x
    x = 1,672,922.18/1,279.05
  6. Step 6: Final answer
    x = 1,307.94

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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.