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Finding the Fourth Proportional to 922.80, 1,387.44 and 816.24

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Solution

The fourth proportional to 922.80, 1,387.44 and 816.24 is: 1,227.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.80 : 1,387.44 = 816.24 : x
  2. Step 2: Convert to fraction form
    922.80/1,387.44 = 816.24/x
  3. Step 3: Cross multiply
    922.80x = 1,387.44 × 816.24
  4. Step 4: Simplify right side
    922.80x = 1,132,484.03
  5. Step 5: Solve for x
    x = 1,132,484.03/922.80
  6. Step 6: Final answer
    x = 1,227.23

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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.