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Finding the Fourth Proportional to 911.71, 1,258.14 and 518.77

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Solution

The fourth proportional to 911.71, 1,258.14 and 518.77 is: 715.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.71 : 1,258.14 = 518.77 : x
  2. Step 2: Convert to fraction form
    911.71/1,258.14 = 518.77/x
  3. Step 3: Cross multiply
    911.71x = 1,258.14 × 518.77
  4. Step 4: Simplify right side
    911.71x = 652,685.29
  5. Step 5: Solve for x
    x = 652,685.29/911.71
  6. Step 6: Final answer
    x = 715.89

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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.