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Finding the Fourth Proportional to 911.15, 1,257.30 and 538.14

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Solution

The fourth proportional to 911.15, 1,257.30 and 538.14 is: 742.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.15 : 1,257.30 = 538.14 : x
  2. Step 2: Convert to fraction form
    911.15/1,257.30 = 538.14/x
  3. Step 3: Cross multiply
    911.15x = 1,257.30 × 538.14
  4. Step 4: Simplify right side
    911.15x = 676,603.42
  5. Step 5: Solve for x
    x = 676,603.42/911.15
  6. Step 6: Final answer
    x = 742.59

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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.