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Finding the Fourth Proportional to 879.27, 1,315.02 and 782.45

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Solution

The fourth proportional to 879.27, 1,315.02 and 782.45 is: 1,170.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.27 : 1,315.02 = 782.45 : x
  2. Step 2: Convert to fraction form
    879.27/1,315.02 = 782.45/x
  3. Step 3: Cross multiply
    879.27x = 1,315.02 × 782.45
  4. Step 4: Simplify right side
    879.27x = 1,028,930.82
  5. Step 5: Solve for x
    x = 1,028,930.82/879.27
  6. Step 6: Final answer
    x = 1,170.21

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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.