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Finding the Fourth Proportional to 911.64, 1,258.02 and 518.61

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Solution

The fourth proportional to 911.64, 1,258.02 and 518.61 is: 715.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.64 : 1,258.02 = 518.61 : x
  2. Step 2: Convert to fraction form
    911.64/1,258.02 = 518.61/x
  3. Step 3: Cross multiply
    911.64x = 1,258.02 × 518.61
  4. Step 4: Simplify right side
    911.64x = 652,421.75
  5. Step 5: Solve for x
    x = 652,421.75/911.64
  6. Step 6: Final answer
    x = 715.66

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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.