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Finding the Fourth Proportional to 911.67, 1,258.22 and 518.76

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Solution

The fourth proportional to 911.67, 1,258.22 and 518.76 is: 715.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.67 : 1,258.22 = 518.76 : x
  2. Step 2: Convert to fraction form
    911.67/1,258.22 = 518.76/x
  3. Step 3: Cross multiply
    911.67x = 1,258.22 × 518.76
  4. Step 4: Simplify right side
    911.67x = 652,711.61
  5. Step 5: Solve for x
    x = 652,711.61/911.67
  6. Step 6: Final answer
    x = 715.95

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1.5x scale

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.