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Finding the Fourth Proportional to 841.97, 1,161.82 and 487.84

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Solution

The fourth proportional to 841.97, 1,161.82 and 487.84 is: 673.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.97 : 1,161.82 = 487.84 : x
  2. Step 2: Convert to fraction form
    841.97/1,161.82 = 487.84/x
  3. Step 3: Cross multiply
    841.97x = 1,161.82 × 487.84
  4. Step 4: Simplify right side
    841.97x = 566,782.27
  5. Step 5: Solve for x
    x = 566,782.27/841.97
  6. Step 6: Final answer
    x = 673.16

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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.