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Finding the Fourth Proportional to 879.01, 1,314.64 and 782.20

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Solution

The fourth proportional to 879.01, 1,314.64 and 782.20 is: 1,169.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.01 : 1,314.64 = 782.20 : x
  2. Step 2: Convert to fraction form
    879.01/1,314.64 = 782.20/x
  3. Step 3: Cross multiply
    879.01x = 1,314.64 × 782.20
  4. Step 4: Simplify right side
    879.01x = 1,028,311.41
  5. Step 5: Solve for x
    x = 1,028,311.41/879.01
  6. Step 6: Final answer
    x = 1,169.85

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Why These Related Problems?

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