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Finding the Fourth Proportional to 823.28, 1,228.36 and 765.20

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Solution

The fourth proportional to 823.28, 1,228.36 and 765.20 is: 1,141.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.28 : 1,228.36 = 765.20 : x
  2. Step 2: Convert to fraction form
    823.28/1,228.36 = 765.20/x
  3. Step 3: Cross multiply
    823.28x = 1,228.36 × 765.20
  4. Step 4: Simplify right side
    823.28x = 939,941.07
  5. Step 5: Solve for x
    x = 939,941.07/823.28
  6. Step 6: Final answer
    x = 1,141.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.