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Finding the Fourth Proportional to 986.88, 1,480.52 and 409.75

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Solution

The fourth proportional to 986.88, 1,480.52 and 409.75 is: 614.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.88 : 1,480.52 = 409.75 : x
  2. Step 2: Convert to fraction form
    986.88/1,480.52 = 409.75/x
  3. Step 3: Cross multiply
    986.88x = 1,480.52 × 409.75
  4. Step 4: Simplify right side
    986.88x = 606,643.07
  5. Step 5: Solve for x
    x = 606,643.07/986.88
  6. Step 6: Final answer
    x = 614.71

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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.