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Finding the Fourth Proportional to 686.74, 948.09 and 454.54

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Solution

The fourth proportional to 686.74, 948.09 and 454.54 is: 627.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.74 : 948.09 = 454.54 : x
  2. Step 2: Convert to fraction form
    686.74/948.09 = 454.54/x
  3. Step 3: Cross multiply
    686.74x = 948.09 × 454.54
  4. Step 4: Simplify right side
    686.74x = 430,944.83
  5. Step 5: Solve for x
    x = 430,944.83/686.74
  6. Step 6: Final answer
    x = 627.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.