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Finding the Fourth Proportional to 817.93, 1,227.03 and 407.08

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Solution

The fourth proportional to 817.93, 1,227.03 and 407.08 is: 610.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.93 : 1,227.03 = 407.08 : x
  2. Step 2: Convert to fraction form
    817.93/1,227.03 = 407.08/x
  3. Step 3: Cross multiply
    817.93x = 1,227.03 × 407.08
  4. Step 4: Simplify right side
    817.93x = 499,499.37
  5. Step 5: Solve for x
    x = 499,499.37/817.93
  6. Step 6: Final answer
    x = 610.69

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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.