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Finding the Fourth Proportional to 820.48, 1,133.71 and 656.05

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Solution

The fourth proportional to 820.48, 1,133.71 and 656.05 is: 906.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.48 : 1,133.71 = 656.05 : x
  2. Step 2: Convert to fraction form
    820.48/1,133.71 = 656.05/x
  3. Step 3: Cross multiply
    820.48x = 1,133.71 × 656.05
  4. Step 4: Simplify right side
    820.48x = 743,770.45
  5. Step 5: Solve for x
    x = 743,770.45/820.48
  6. Step 6: Final answer
    x = 906.51

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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.