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Finding the Fourth Proportional to 1,190.25, 1,784.07 and 409.52

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Solution

The fourth proportional to 1,190.25, 1,784.07 and 409.52 is: 613.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.25 : 1,784.07 = 409.52 : x
  2. Step 2: Convert to fraction form
    1,190.25/1,784.07 = 409.52/x
  3. Step 3: Cross multiply
    1,190.25x = 1,784.07 × 409.52
  4. Step 4: Simplify right side
    1,190.25x = 730,603.43
  5. Step 5: Solve for x
    x = 730,603.43/1,190.25
  6. Step 6: Final answer
    x = 613.82

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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.