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Finding the Fourth Proportional to 1,016.34, 1,519.20 and 879.07

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Solution

The fourth proportional to 1,016.34, 1,519.20 and 879.07 is: 1,314.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.34 : 1,519.20 = 879.07 : x
  2. Step 2: Convert to fraction form
    1,016.34/1,519.20 = 879.07/x
  3. Step 3: Cross multiply
    1,016.34x = 1,519.20 × 879.07
  4. Step 4: Simplify right side
    1,016.34x = 1,335,483.14
  5. Step 5: Solve for x
    x = 1,335,483.14/1,016.34
  6. Step 6: Final answer
    x = 1,314.01

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.