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Finding the Fourth Proportional to 798.09, 1,195.83 and 407.55

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Solution

The fourth proportional to 798.09, 1,195.83 and 407.55 is: 610.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.09 : 1,195.83 = 407.55 : x
  2. Step 2: Convert to fraction form
    798.09/1,195.83 = 407.55/x
  3. Step 3: Cross multiply
    798.09x = 1,195.83 × 407.55
  4. Step 4: Simplify right side
    798.09x = 487,360.52
  5. Step 5: Solve for x
    x = 487,360.52/798.09
  6. Step 6: Final answer
    x = 610.66

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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.