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Finding the Fourth Proportional to 688.14, 1,031.86 and 225.86

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Solution

The fourth proportional to 688.14, 1,031.86 and 225.86 is: 338.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.14 : 1,031.86 = 225.86 : x
  2. Step 2: Convert to fraction form
    688.14/1,031.86 = 225.86/x
  3. Step 3: Cross multiply
    688.14x = 1,031.86 × 225.86
  4. Step 4: Simplify right side
    688.14x = 233,054.77
  5. Step 5: Solve for x
    x = 233,054.77/688.14
  6. Step 6: Final answer
    x = 338.68

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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.