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Finding the Fourth Proportional to 698.46, 964.08 and 559.55

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Solution

The fourth proportional to 698.46, 964.08 and 559.55 is: 772.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.46 : 964.08 = 559.55 : x
  2. Step 2: Convert to fraction form
    698.46/964.08 = 559.55/x
  3. Step 3: Cross multiply
    698.46x = 964.08 × 559.55
  4. Step 4: Simplify right side
    698.46x = 539,443.35
  5. Step 5: Solve for x
    x = 539,443.35/698.46
  6. Step 6: Final answer
    x = 772.33

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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.