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Finding the Fourth Proportional to 879.12, 1,319.22 and 514.62

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Solution

The fourth proportional to 879.12, 1,319.22 and 514.62 is: 772.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.12 : 1,319.22 = 514.62 : x
  2. Step 2: Convert to fraction form
    879.12/1,319.22 = 514.62/x
  3. Step 3: Cross multiply
    879.12x = 1,319.22 × 514.62
  4. Step 4: Simplify right side
    879.12x = 678,897.00
  5. Step 5: Solve for x
    x = 678,897.00/879.12
  6. Step 6: Final answer
    x = 772.25

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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.