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Finding the Fourth Proportional to 817.55, 1,226.95 and 407.13

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Solution

The fourth proportional to 817.55, 1,226.95 and 407.13 is: 611.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.55 : 1,226.95 = 407.13 : x
  2. Step 2: Convert to fraction form
    817.55/1,226.95 = 407.13/x
  3. Step 3: Cross multiply
    817.55x = 1,226.95 × 407.13
  4. Step 4: Simplify right side
    817.55x = 499,528.15
  5. Step 5: Solve for x
    x = 499,528.15/817.55
  6. Step 6: Final answer
    x = 611.01

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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.