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Finding the Fourth Proportional to 911.32, 1,257.62 and 497.32

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Solution

The fourth proportional to 911.32, 1,257.62 and 497.32 is: 686.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.32 : 1,257.62 = 497.32 : x
  2. Step 2: Convert to fraction form
    911.32/1,257.62 = 497.32/x
  3. Step 3: Cross multiply
    911.32x = 1,257.62 × 497.32
  4. Step 4: Simplify right side
    911.32x = 625,430.80
  5. Step 5: Solve for x
    x = 625,430.80/911.32
  6. Step 6: Final answer
    x = 686.29

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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.