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Finding the Fourth Proportional to 686.84, 1,029.62 and 442.76

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Solution

The fourth proportional to 686.84, 1,029.62 and 442.76 is: 663.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.84 : 1,029.62 = 442.76 : x
  2. Step 2: Convert to fraction form
    686.84/1,029.62 = 442.76/x
  3. Step 3: Cross multiply
    686.84x = 1,029.62 × 442.76
  4. Step 4: Simplify right side
    686.84x = 455,874.55
  5. Step 5: Solve for x
    x = 455,874.55/686.84
  6. Step 6: Final answer
    x = 663.73

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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.