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Finding the Fourth Proportional to 848.37, 1,272.14 and 409.82

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Solution

The fourth proportional to 848.37, 1,272.14 and 409.82 is: 614.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.37 : 1,272.14 = 409.82 : x
  2. Step 2: Convert to fraction form
    848.37/1,272.14 = 409.82/x
  3. Step 3: Cross multiply
    848.37x = 1,272.14 × 409.82
  4. Step 4: Simplify right side
    848.37x = 521,346.26
  5. Step 5: Solve for x
    x = 521,346.26/848.37
  6. Step 6: Final answer
    x = 614.53

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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.