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Finding the Fourth Proportional to 695.17, 1,042.76 and 284.22

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Solution

The fourth proportional to 695.17, 1,042.76 and 284.22 is: 426.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.17 : 1,042.76 = 284.22 : x
  2. Step 2: Convert to fraction form
    695.17/1,042.76 = 284.22/x
  3. Step 3: Cross multiply
    695.17x = 1,042.76 × 284.22
  4. Step 4: Simplify right side
    695.17x = 296,373.25
  5. Step 5: Solve for x
    x = 296,373.25/695.17
  6. Step 6: Final answer
    x = 426.33

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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.