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Finding the Fourth Proportional to 817.26, 1,127.80 and 444.23

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Solution

The fourth proportional to 817.26, 1,127.80 and 444.23 is: 613.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.26 : 1,127.80 = 444.23 : x
  2. Step 2: Convert to fraction form
    817.26/1,127.80 = 444.23/x
  3. Step 3: Cross multiply
    817.26x = 1,127.80 × 444.23
  4. Step 4: Simplify right side
    817.26x = 501,001.20
  5. Step 5: Solve for x
    x = 501,001.20/817.26
  6. Step 6: Final answer
    x = 613.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.