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Finding the Fourth Proportional to 891.01, 1,335.14 and 543.82

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Solution

The fourth proportional to 891.01, 1,335.14 and 543.82 is: 814.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.01 : 1,335.14 = 543.82 : x
  2. Step 2: Convert to fraction form
    891.01/1,335.14 = 543.82/x
  3. Step 3: Cross multiply
    891.01x = 1,335.14 × 543.82
  4. Step 4: Simplify right side
    891.01x = 726,071.14
  5. Step 5: Solve for x
    x = 726,071.14/891.01
  6. Step 6: Final answer
    x = 814.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.