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Finding the Fourth Proportional to 848.82, 1,171.47 and 494.92

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Solution

The fourth proportional to 848.82, 1,171.47 and 494.92 is: 683.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.82 : 1,171.47 = 494.92 : x
  2. Step 2: Convert to fraction form
    848.82/1,171.47 = 494.92/x
  3. Step 3: Cross multiply
    848.82x = 1,171.47 × 494.92
  4. Step 4: Simplify right side
    848.82x = 579,783.93
  5. Step 5: Solve for x
    x = 579,783.93/848.82
  6. Step 6: Final answer
    x = 683.05

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