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Finding the Fourth Proportional to 1,226.97, 1,693.22 and 667.45

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Solution

The fourth proportional to 1,226.97, 1,693.22 and 667.45 is: 921.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.97 : 1,693.22 = 667.45 : x
  2. Step 2: Convert to fraction form
    1,226.97/1,693.22 = 667.45/x
  3. Step 3: Cross multiply
    1,226.97x = 1,693.22 × 667.45
  4. Step 4: Simplify right side
    1,226.97x = 1,130,139.69
  5. Step 5: Solve for x
    x = 1,130,139.69/1,226.97
  6. Step 6: Final answer
    x = 921.08

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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.