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Finding the Fourth Proportional to 650.98, 976.59 and 559.42

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Solution

The fourth proportional to 650.98, 976.59 and 559.42 is: 839.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.98 : 976.59 = 559.42 : x
  2. Step 2: Convert to fraction form
    650.98/976.59 = 559.42/x
  3. Step 3: Cross multiply
    650.98x = 976.59 × 559.42
  4. Step 4: Simplify right side
    650.98x = 546,323.98
  5. Step 5: Solve for x
    x = 546,323.98/650.98
  6. Step 6: Final answer
    x = 839.23

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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.