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Finding the Fourth Proportional to 805.90, 1,112.02 and 491

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Solution

The fourth proportional to 805.90, 1,112.02 and 491 is: 677.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.90 : 1,112.02 = 491 : x
  2. Step 2: Convert to fraction form
    805.90/1,112.02 = 491/x
  3. Step 3: Cross multiply
    805.90x = 1,112.02 × 491
  4. Step 4: Simplify right side
    805.90x = 546,001.82
  5. Step 5: Solve for x
    x = 546,001.82/805.90
  6. Step 6: Final answer
    x = 677.51

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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.