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Finding the Fourth Proportional to 1,332.14, 1,997.71 and 407.42

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Solution

The fourth proportional to 1,332.14, 1,997.71 and 407.42 is: 610.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.14 : 1,997.71 = 407.42 : x
  2. Step 2: Convert to fraction form
    1,332.14/1,997.71 = 407.42/x
  3. Step 3: Cross multiply
    1,332.14x = 1,997.71 × 407.42
  4. Step 4: Simplify right side
    1,332.14x = 813,896.00
  5. Step 5: Solve for x
    x = 813,896.00/1,332.14
  6. Step 6: Final answer
    x = 610.97

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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.