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Finding the Fourth Proportional to 848.69, 1,170.82 and 494.49

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Solution

The fourth proportional to 848.69, 1,170.82 and 494.49 is: 682.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.69 : 1,170.82 = 494.49 : x
  2. Step 2: Convert to fraction form
    848.69/1,170.82 = 494.49/x
  3. Step 3: Cross multiply
    848.69x = 1,170.82 × 494.49
  4. Step 4: Simplify right side
    848.69x = 578,956.31
  5. Step 5: Solve for x
    x = 578,956.31/848.69
  6. Step 6: Final answer
    x = 682.18

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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.