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Finding the Fourth Proportional to 848.73, 1,171.25 and 494.86

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Solution

The fourth proportional to 848.73, 1,171.25 and 494.86 is: 682.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.73 : 1,171.25 = 494.86 : x
  2. Step 2: Convert to fraction form
    848.73/1,171.25 = 494.86/x
  3. Step 3: Cross multiply
    848.73x = 1,171.25 × 494.86
  4. Step 4: Simplify right side
    848.73x = 579,603.08
  5. Step 5: Solve for x
    x = 579,603.08/848.73
  6. Step 6: Final answer
    x = 682.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.