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Finding the Fourth Proportional to 911.32, 1,258.06 and 696.86

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Solution

The fourth proportional to 911.32, 1,258.06 and 696.86 is: 962.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.32 : 1,258.06 = 696.86 : x
  2. Step 2: Convert to fraction form
    911.32/1,258.06 = 696.86/x
  3. Step 3: Cross multiply
    911.32x = 1,258.06 × 696.86
  4. Step 4: Simplify right side
    911.32x = 876,691.69
  5. Step 5: Solve for x
    x = 876,691.69/911.32
  6. Step 6: Final answer
    x = 962.00

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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.