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Finding the Fourth Proportional to 848.54, 1,171 and 494.57

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Solution

The fourth proportional to 848.54, 1,171 and 494.57 is: 682.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.54 : 1,171 = 494.57 : x
  2. Step 2: Convert to fraction form
    848.54/1,171 = 494.57/x
  3. Step 3: Cross multiply
    848.54x = 1,171 × 494.57
  4. Step 4: Simplify right side
    848.54x = 579,141.47
  5. Step 5: Solve for x
    x = 579,141.47/848.54
  6. Step 6: Final answer
    x = 682.52

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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.