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Finding the Fourth Proportional to 911.62, 1,258.02 and 497.62

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Solution

The fourth proportional to 911.62, 1,258.02 and 497.62 is: 686.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.62 : 1,258.02 = 497.62 : x
  2. Step 2: Convert to fraction form
    911.62/1,258.02 = 497.62/x
  3. Step 3: Cross multiply
    911.62x = 1,258.02 × 497.62
  4. Step 4: Simplify right side
    911.62x = 626,015.91
  5. Step 5: Solve for x
    x = 626,015.91/911.62
  6. Step 6: Final answer
    x = 686.71

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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.