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Finding the Fourth Proportional to 841.26, 1,161.02 and 491.88

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Solution

The fourth proportional to 841.26, 1,161.02 and 491.88 is: 678.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.26 : 1,161.02 = 491.88 : x
  2. Step 2: Convert to fraction form
    841.26/1,161.02 = 491.88/x
  3. Step 3: Cross multiply
    841.26x = 1,161.02 × 491.88
  4. Step 4: Simplify right side
    841.26x = 571,082.52
  5. Step 5: Solve for x
    x = 571,082.52/841.26
  6. Step 6: Final answer
    x = 678.84

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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.