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Finding the Fourth Proportional to 817.17, 1,226.99 and 407.71

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Solution

The fourth proportional to 817.17, 1,226.99 and 407.71 is: 612.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.17 : 1,226.99 = 407.71 : x
  2. Step 2: Convert to fraction form
    817.17/1,226.99 = 407.71/x
  3. Step 3: Cross multiply
    817.17x = 1,226.99 × 407.71
  4. Step 4: Simplify right side
    817.17x = 500,256.09
  5. Step 5: Solve for x
    x = 500,256.09/817.17
  6. Step 6: Final answer
    x = 612.18

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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.