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Finding the Fourth Proportional to 848.48, 1,272.98 and 409.46

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Solution

The fourth proportional to 848.48, 1,272.98 and 409.46 is: 614.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.48 : 1,272.98 = 409.46 : x
  2. Step 2: Convert to fraction form
    848.48/1,272.98 = 409.46/x
  3. Step 3: Cross multiply
    848.48x = 1,272.98 × 409.46
  4. Step 4: Simplify right side
    848.48x = 521,229.05
  5. Step 5: Solve for x
    x = 521,229.05/848.48
  6. Step 6: Final answer
    x = 614.31

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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.