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Finding the Fourth Proportional to 1,279.48, 1,919.14 and 538.77

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Solution

The fourth proportional to 1,279.48, 1,919.14 and 538.77 is: 808.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.48 : 1,919.14 = 538.77 : x
  2. Step 2: Convert to fraction form
    1,279.48/1,919.14 = 538.77/x
  3. Step 3: Cross multiply
    1,279.48x = 1,919.14 × 538.77
  4. Step 4: Simplify right side
    1,279.48x = 1,033,983.94
  5. Step 5: Solve for x
    x = 1,033,983.94/1,279.48
  6. Step 6: Final answer
    x = 808.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.