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Finding the Fourth Proportional to 911.50, 1,257.87 and 497.50

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Solution

The fourth proportional to 911.50, 1,257.87 and 497.50 is: 686.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.50 : 1,257.87 = 497.50 : x
  2. Step 2: Convert to fraction form
    911.50/1,257.87 = 497.50/x
  3. Step 3: Cross multiply
    911.50x = 1,257.87 × 497.50
  4. Step 4: Simplify right side
    911.50x = 625,790.33
  5. Step 5: Solve for x
    x = 625,790.33/911.50
  6. Step 6: Final answer
    x = 686.55

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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.