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Finding the Fourth Proportional to 848.78, 1,171.47 and 494.75

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Solution

The fourth proportional to 848.78, 1,171.47 and 494.75 is: 682.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.78 : 1,171.47 = 494.75 : x
  2. Step 2: Convert to fraction form
    848.78/1,171.47 = 494.75/x
  3. Step 3: Cross multiply
    848.78x = 1,171.47 × 494.75
  4. Step 4: Simplify right side
    848.78x = 579,584.78
  5. Step 5: Solve for x
    x = 579,584.78/848.78
  6. Step 6: Final answer
    x = 682.84

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Double scale
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1.5x scale

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.