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Finding the Fourth Proportional to 879.52, 1,315.39 and 782.70

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Solution

The fourth proportional to 879.52, 1,315.39 and 782.70 is: 1,170.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.52 : 1,315.39 = 782.70 : x
  2. Step 2: Convert to fraction form
    879.52/1,315.39 = 782.70/x
  3. Step 3: Cross multiply
    879.52x = 1,315.39 × 782.70
  4. Step 4: Simplify right side
    879.52x = 1,029,551.84
  5. Step 5: Solve for x
    x = 1,029,551.84/879.52
  6. Step 6: Final answer
    x = 1,170.59

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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.