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Finding the Fourth Proportional to 820.13, 1,226.54 and 750.87

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Solution

The fourth proportional to 820.13, 1,226.54 and 750.87 is: 1,122.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.13 : 1,226.54 = 750.87 : x
  2. Step 2: Convert to fraction form
    820.13/1,226.54 = 750.87/x
  3. Step 3: Cross multiply
    820.13x = 1,226.54 × 750.87
  4. Step 4: Simplify right side
    820.13x = 920,973.97
  5. Step 5: Solve for x
    x = 920,973.97/820.13
  6. Step 6: Final answer
    x = 1,122.97

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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.