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Finding the Fourth Proportional to 848.82, 1,272.02 and 410.24

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Solution

The fourth proportional to 848.82, 1,272.02 and 410.24 is: 614.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.82 : 1,272.02 = 410.24 : x
  2. Step 2: Convert to fraction form
    848.82/1,272.02 = 410.24/x
  3. Step 3: Cross multiply
    848.82x = 1,272.02 × 410.24
  4. Step 4: Simplify right side
    848.82x = 521,833.48
  5. Step 5: Solve for x
    x = 521,833.48/848.82
  6. Step 6: Final answer
    x = 614.78

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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.