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Finding the Fourth Proportional to 817.71, 1,225.68 and 406.02

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Solution

The fourth proportional to 817.71, 1,225.68 and 406.02 is: 608.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.71 : 1,225.68 = 406.02 : x
  2. Step 2: Convert to fraction form
    817.71/1,225.68 = 406.02/x
  3. Step 3: Cross multiply
    817.71x = 1,225.68 × 406.02
  4. Step 4: Simplify right side
    817.71x = 497,650.59
  5. Step 5: Solve for x
    x = 497,650.59/817.71
  6. Step 6: Final answer
    x = 608.59

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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.