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Finding the Fourth Proportional to 841.82, 1,161.84 and 487.76

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Solution

The fourth proportional to 841.82, 1,161.84 and 487.76 is: 673.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.82 : 1,161.84 = 487.76 : x
  2. Step 2: Convert to fraction form
    841.82/1,161.84 = 487.76/x
  3. Step 3: Cross multiply
    841.82x = 1,161.84 × 487.76
  4. Step 4: Simplify right side
    841.82x = 566,699.08
  5. Step 5: Solve for x
    x = 566,699.08/841.82
  6. Step 6: Final answer
    x = 673.18

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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.