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Finding the Fourth Proportional to 817.83, 1,225.06 and 400.11

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Solution

The fourth proportional to 817.83, 1,225.06 and 400.11 is: 599.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.83 : 1,225.06 = 400.11 : x
  2. Step 2: Convert to fraction form
    817.83/1,225.06 = 400.11/x
  3. Step 3: Cross multiply
    817.83x = 1,225.06 × 400.11
  4. Step 4: Simplify right side
    817.83x = 490,154.90
  5. Step 5: Solve for x
    x = 490,154.90/817.83
  6. Step 6: Final answer
    x = 599.33

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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.