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Finding the Fourth Proportional to 811.34, 1,217.02 and 648.26

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Solution

The fourth proportional to 811.34, 1,217.02 and 648.26 is: 972.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.34 : 1,217.02 = 648.26 : x
  2. Step 2: Convert to fraction form
    811.34/1,217.02 = 648.26/x
  3. Step 3: Cross multiply
    811.34x = 1,217.02 × 648.26
  4. Step 4: Simplify right side
    811.34x = 788,945.39
  5. Step 5: Solve for x
    x = 788,945.39/811.34
  6. Step 6: Final answer
    x = 972.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.