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Finding the Fourth Proportional to 671.59, 1,008.24 and 410.95

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Solution

The fourth proportional to 671.59, 1,008.24 and 410.95 is: 616.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.59 : 1,008.24 = 410.95 : x
  2. Step 2: Convert to fraction form
    671.59/1,008.24 = 410.95/x
  3. Step 3: Cross multiply
    671.59x = 1,008.24 × 410.95
  4. Step 4: Simplify right side
    671.59x = 414,336.23
  5. Step 5: Solve for x
    x = 414,336.23/671.59
  6. Step 6: Final answer
    x = 616.95

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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.