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Finding the Fourth Proportional to 865.85, 1,298.37 and 514.82

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Solution

The fourth proportional to 865.85, 1,298.37 and 514.82 is: 771.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.85 : 1,298.37 = 514.82 : x
  2. Step 2: Convert to fraction form
    865.85/1,298.37 = 514.82/x
  3. Step 3: Cross multiply
    865.85x = 1,298.37 × 514.82
  4. Step 4: Simplify right side
    865.85x = 668,426.84
  5. Step 5: Solve for x
    x = 668,426.84/865.85
  6. Step 6: Final answer
    x = 771.99

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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.