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Finding the Fourth Proportional to 818.30, 1,226.52 and 407.02

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Solution

The fourth proportional to 818.30, 1,226.52 and 407.02 is: 610.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.30 : 1,226.52 = 407.02 : x
  2. Step 2: Convert to fraction form
    818.30/1,226.52 = 407.02/x
  3. Step 3: Cross multiply
    818.30x = 1,226.52 × 407.02
  4. Step 4: Simplify right side
    818.30x = 499,218.17
  5. Step 5: Solve for x
    x = 499,218.17/818.30
  6. Step 6: Final answer
    x = 610.07

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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.