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Finding the Fourth Proportional to 817.26, 1,127.52 and 467.88

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Solution

The fourth proportional to 817.26, 1,127.52 and 467.88 is: 645.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.26 : 1,127.52 = 467.88 : x
  2. Step 2: Convert to fraction form
    817.26/1,127.52 = 467.88/x
  3. Step 3: Cross multiply
    817.26x = 1,127.52 × 467.88
  4. Step 4: Simplify right side
    817.26x = 527,544.06
  5. Step 5: Solve for x
    x = 527,544.06/817.26
  6. Step 6: Final answer
    x = 645.50

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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.