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Finding the Fourth Proportional to 848.62, 1,273.38 and 410.41

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Solution

The fourth proportional to 848.62, 1,273.38 and 410.41 is: 615.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.62 : 1,273.38 = 410.41 : x
  2. Step 2: Convert to fraction form
    848.62/1,273.38 = 410.41/x
  3. Step 3: Cross multiply
    848.62x = 1,273.38 × 410.41
  4. Step 4: Simplify right side
    848.62x = 522,607.89
  5. Step 5: Solve for x
    x = 522,607.89/848.62
  6. Step 6: Final answer
    x = 615.83

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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.