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Finding the Fourth Proportional to 803.24, 1,107.36 and 566.84

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Solution

The fourth proportional to 803.24, 1,107.36 and 566.84 is: 781.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.24 : 1,107.36 = 566.84 : x
  2. Step 2: Convert to fraction form
    803.24/1,107.36 = 566.84/x
  3. Step 3: Cross multiply
    803.24x = 1,107.36 × 566.84
  4. Step 4: Simplify right side
    803.24x = 627,695.94
  5. Step 5: Solve for x
    x = 627,695.94/803.24
  6. Step 6: Final answer
    x = 781.46

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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.