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Finding the Fourth Proportional to 686.58, 1,029.87 and 296.70

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Solution

The fourth proportional to 686.58, 1,029.87 and 296.70 is: 445.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.58 : 1,029.87 = 296.70 : x
  2. Step 2: Convert to fraction form
    686.58/1,029.87 = 296.70/x
  3. Step 3: Cross multiply
    686.58x = 1,029.87 × 296.70
  4. Step 4: Simplify right side
    686.58x = 305,562.43
  5. Step 5: Solve for x
    x = 305,562.43/686.58
  6. Step 6: Final answer
    x = 445.05

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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.