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Finding the Fourth Proportional to 1,330.78, 1,995.41 and 406.07

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Solution

The fourth proportional to 1,330.78, 1,995.41 and 406.07 is: 608.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.78 : 1,995.41 = 406.07 : x
  2. Step 2: Convert to fraction form
    1,330.78/1,995.41 = 406.07/x
  3. Step 3: Cross multiply
    1,330.78x = 1,995.41 × 406.07
  4. Step 4: Simplify right side
    1,330.78x = 810,276.14
  5. Step 5: Solve for x
    x = 810,276.14/1,330.78
  6. Step 6: Final answer
    x = 608.87

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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.