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Finding the Fourth Proportional to 695.16, 1,042.69 and 284.26

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Solution

The fourth proportional to 695.16, 1,042.69 and 284.26 is: 426.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.16 : 1,042.69 = 284.26 : x
  2. Step 2: Convert to fraction form
    695.16/1,042.69 = 284.26/x
  3. Step 3: Cross multiply
    695.16x = 1,042.69 × 284.26
  4. Step 4: Simplify right side
    695.16x = 296,395.06
  5. Step 5: Solve for x
    x = 296,395.06/695.16
  6. Step 6: Final answer
    x = 426.37

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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.