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Finding the Fourth Proportional to 697.87, 962.86 and 449.50

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Solution

The fourth proportional to 697.87, 962.86 and 449.50 is: 620.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.87 : 962.86 = 449.50 : x
  2. Step 2: Convert to fraction form
    697.87/962.86 = 449.50/x
  3. Step 3: Cross multiply
    697.87x = 962.86 × 449.50
  4. Step 4: Simplify right side
    697.87x = 432,805.95
  5. Step 5: Solve for x
    x = 432,805.95/697.87
  6. Step 6: Final answer
    x = 620.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.