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Finding the Fourth Proportional to 1,330.97, 1,996.41 and 465.26

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Solution

The fourth proportional to 1,330.97, 1,996.41 and 465.26 is: 697.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.97 : 1,996.41 = 465.26 : x
  2. Step 2: Convert to fraction form
    1,330.97/1,996.41 = 465.26/x
  3. Step 3: Cross multiply
    1,330.97x = 1,996.41 × 465.26
  4. Step 4: Simplify right side
    1,330.97x = 928,849.72
  5. Step 5: Solve for x
    x = 928,849.72/1,330.97
  6. Step 6: Final answer
    x = 697.87

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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.