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Finding the Fourth Proportional to 695.44, 1,042.29 and 284.35

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Solution

The fourth proportional to 695.44, 1,042.29 and 284.35 is: 426.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.44 : 1,042.29 = 284.35 : x
  2. Step 2: Convert to fraction form
    695.44/1,042.29 = 284.35/x
  3. Step 3: Cross multiply
    695.44x = 1,042.29 × 284.35
  4. Step 4: Simplify right side
    695.44x = 296,375.16
  5. Step 5: Solve for x
    x = 296,375.16/695.44
  6. Step 6: Final answer
    x = 426.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.