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Finding the Fourth Proportional to 911.76, 1,258.22 and 497.76

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Solution

The fourth proportional to 911.76, 1,258.22 and 497.76 is: 686.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.76 : 1,258.22 = 497.76 : x
  2. Step 2: Convert to fraction form
    911.76/1,258.22 = 497.76/x
  3. Step 3: Cross multiply
    911.76x = 1,258.22 × 497.76
  4. Step 4: Simplify right side
    911.76x = 626,291.59
  5. Step 5: Solve for x
    x = 626,291.59/911.76
  6. Step 6: Final answer
    x = 686.90

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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.