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Finding the Fourth Proportional to 686.34, 1,029.51 and 550.25

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Solution

The fourth proportional to 686.34, 1,029.51 and 550.25 is: 825.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.34 : 1,029.51 = 550.25 : x
  2. Step 2: Convert to fraction form
    686.34/1,029.51 = 550.25/x
  3. Step 3: Cross multiply
    686.34x = 1,029.51 × 550.25
  4. Step 4: Simplify right side
    686.34x = 566,482.73
  5. Step 5: Solve for x
    x = 566,482.73/686.34
  6. Step 6: Final answer
    x = 825.37

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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.