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Finding the Fourth Proportional to 839.12, 1,259.08 and 514.30

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Solution

The fourth proportional to 839.12, 1,259.08 and 514.30 is: 771.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.12 : 1,259.08 = 514.30 : x
  2. Step 2: Convert to fraction form
    839.12/1,259.08 = 514.30/x
  3. Step 3: Cross multiply
    839.12x = 1,259.08 × 514.30
  4. Step 4: Simplify right side
    839.12x = 647,544.84
  5. Step 5: Solve for x
    x = 647,544.84/839.12
  6. Step 6: Final answer
    x = 771.70

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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.