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Finding the Fourth Proportional to 695.45, 1,043.19 and 284.31

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Solution

The fourth proportional to 695.45, 1,043.19 and 284.31 is: 426.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.45 : 1,043.19 = 284.31 : x
  2. Step 2: Convert to fraction form
    695.45/1,043.19 = 284.31/x
  3. Step 3: Cross multiply
    695.45x = 1,043.19 × 284.31
  4. Step 4: Simplify right side
    695.45x = 296,589.35
  5. Step 5: Solve for x
    x = 296,589.35/695.45
  6. Step 6: Final answer
    x = 426.47

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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.