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Finding the Fourth Proportional to 817.26, 1,225.06 and 383.64

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Solution

The fourth proportional to 817.26, 1,225.06 and 383.64 is: 575.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.26 : 1,225.06 = 383.64 : x
  2. Step 2: Convert to fraction form
    817.26/1,225.06 = 383.64/x
  3. Step 3: Cross multiply
    817.26x = 1,225.06 × 383.64
  4. Step 4: Simplify right side
    817.26x = 469,982.02
  5. Step 5: Solve for x
    x = 469,982.02/817.26
  6. Step 6: Final answer
    x = 575.07

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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.