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Finding the Fourth Proportional to 908.50, 1,253.85 and 659.74

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Solution

The fourth proportional to 908.50, 1,253.85 and 659.74 is: 910.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.50 : 1,253.85 = 659.74 : x
  2. Step 2: Convert to fraction form
    908.50/1,253.85 = 659.74/x
  3. Step 3: Cross multiply
    908.50x = 1,253.85 × 659.74
  4. Step 4: Simplify right side
    908.50x = 827,215.00
  5. Step 5: Solve for x
    x = 827,215.00/908.50
  6. Step 6: Final answer
    x = 910.53

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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.