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Finding the Fourth Proportional to 695.27, 1,042.26 and 406.10

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Solution

The fourth proportional to 695.27, 1,042.26 and 406.10 is: 608.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.27 : 1,042.26 = 406.10 : x
  2. Step 2: Convert to fraction form
    695.27/1,042.26 = 406.10/x
  3. Step 3: Cross multiply
    695.27x = 1,042.26 × 406.10
  4. Step 4: Simplify right side
    695.27x = 423,256.57
  5. Step 5: Solve for x
    x = 423,256.57/695.27
  6. Step 6: Final answer
    x = 608.77

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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.