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Finding the Fourth Proportional to 817.56, 1,227.19 and 407.00

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Solution

The fourth proportional to 817.56, 1,227.19 and 407.00 is: 610.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.56 : 1,227.19 = 407.00 : x
  2. Step 2: Convert to fraction form
    817.56/1,227.19 = 407.00/x
  3. Step 3: Cross multiply
    817.56x = 1,227.19 × 407.00
  4. Step 4: Simplify right side
    817.56x = 499,458.16
  5. Step 5: Solve for x
    x = 499,458.16/817.56
  6. Step 6: Final answer
    x = 610.92

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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.