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Finding the Fourth Proportional to 901.82, 1,354.14 and 532.76

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Solution

The fourth proportional to 901.82, 1,354.14 and 532.76 is: 799.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.82 : 1,354.14 = 532.76 : x
  2. Step 2: Convert to fraction form
    901.82/1,354.14 = 532.76/x
  3. Step 3: Cross multiply
    901.82x = 1,354.14 × 532.76
  4. Step 4: Simplify right side
    901.82x = 721,431.63
  5. Step 5: Solve for x
    x = 721,431.63/901.82
  6. Step 6: Final answer
    x = 799.97

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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.