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Finding the Fourth Proportional to 910.88, 1,257.47 and 537.97

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Solution

The fourth proportional to 910.88, 1,257.47 and 537.97 is: 742.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.88 : 1,257.47 = 537.97 : x
  2. Step 2: Convert to fraction form
    910.88/1,257.47 = 537.97/x
  3. Step 3: Cross multiply
    910.88x = 1,257.47 × 537.97
  4. Step 4: Simplify right side
    910.88x = 676,481.14
  5. Step 5: Solve for x
    x = 676,481.14/910.88
  6. Step 6: Final answer
    x = 742.67

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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.