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Finding the Fourth Proportional to 911.78, 1,258.26 and 497.78

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Solution

The fourth proportional to 911.78, 1,258.26 and 497.78 is: 686.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.78 : 1,258.26 = 497.78 : x
  2. Step 2: Convert to fraction form
    911.78/1,258.26 = 497.78/x
  3. Step 3: Cross multiply
    911.78x = 1,258.26 × 497.78
  4. Step 4: Simplify right side
    911.78x = 626,336.66
  5. Step 5: Solve for x
    x = 626,336.66/911.78
  6. Step 6: Final answer
    x = 686.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.