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Finding the Fourth Proportional to 1,330.68, 1,997.07 and 922.69

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Solution

The fourth proportional to 1,330.68, 1,997.07 and 922.69 is: 1,384.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.68 : 1,997.07 = 922.69 : x
  2. Step 2: Convert to fraction form
    1,330.68/1,997.07 = 922.69/x
  3. Step 3: Cross multiply
    1,330.68x = 1,997.07 × 922.69
  4. Step 4: Simplify right side
    1,330.68x = 1,842,676.52
  5. Step 5: Solve for x
    x = 1,842,676.52/1,330.68
  6. Step 6: Final answer
    x = 1,384.76

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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.