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Finding the Fourth Proportional to 695.07, 1,042.91 and 284.30

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Solution

The fourth proportional to 695.07, 1,042.91 and 284.30 is: 426.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.07 : 1,042.91 = 284.30 : x
  2. Step 2: Convert to fraction form
    695.07/1,042.91 = 284.30/x
  3. Step 3: Cross multiply
    695.07x = 1,042.91 × 284.30
  4. Step 4: Simplify right side
    695.07x = 296,499.31
  5. Step 5: Solve for x
    x = 296,499.31/695.07
  6. Step 6: Final answer
    x = 426.57

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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.