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Finding the Fourth Proportional to 686.57, 1,029.24 and 443.16

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Solution

The fourth proportional to 686.57, 1,029.24 and 443.16 is: 664.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.57 : 1,029.24 = 443.16 : x
  2. Step 2: Convert to fraction form
    686.57/1,029.24 = 443.16/x
  3. Step 3: Cross multiply
    686.57x = 1,029.24 × 443.16
  4. Step 4: Simplify right side
    686.57x = 456,118.00
  5. Step 5: Solve for x
    x = 456,118.00/686.57
  6. Step 6: Final answer
    x = 664.35

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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.