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Finding the Fourth Proportional to 686.56, 1,031.92 and 456.24

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Solution

The fourth proportional to 686.56, 1,031.92 and 456.24 is: 685.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.56 : 1,031.92 = 456.24 : x
  2. Step 2: Convert to fraction form
    686.56/1,031.92 = 456.24/x
  3. Step 3: Cross multiply
    686.56x = 1,031.92 × 456.24
  4. Step 4: Simplify right side
    686.56x = 470,803.18
  5. Step 5: Solve for x
    x = 470,803.18/686.56
  6. Step 6: Final answer
    x = 685.74

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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.