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Finding the Fourth Proportional to 817.88, 1,225.17 and 405.77

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Solution

The fourth proportional to 817.88, 1,225.17 and 405.77 is: 607.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.88 : 1,225.17 = 405.77 : x
  2. Step 2: Convert to fraction form
    817.88/1,225.17 = 405.77/x
  3. Step 3: Cross multiply
    817.88x = 1,225.17 × 405.77
  4. Step 4: Simplify right side
    817.88x = 497,131.11
  5. Step 5: Solve for x
    x = 497,131.11/817.88
  6. Step 6: Final answer
    x = 607.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.