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Finding the Fourth Proportional to 695.66, 1,042.81 and 284.23

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Solution

The fourth proportional to 695.66, 1,042.81 and 284.23 is: 426.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.66 : 1,042.81 = 284.23 : x
  2. Step 2: Convert to fraction form
    695.66/1,042.81 = 284.23/x
  3. Step 3: Cross multiply
    695.66x = 1,042.81 × 284.23
  4. Step 4: Simplify right side
    695.66x = 296,402.61
  5. Step 5: Solve for x
    x = 296,402.61/695.66
  6. Step 6: Final answer
    x = 426.07

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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.