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Finding the Fourth Proportional to 695.92, 1,043.18 and 285.18

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Solution

The fourth proportional to 695.92, 1,043.18 and 285.18 is: 427.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.92 : 1,043.18 = 285.18 : x
  2. Step 2: Convert to fraction form
    695.92/1,043.18 = 285.18/x
  3. Step 3: Cross multiply
    695.92x = 1,043.18 × 285.18
  4. Step 4: Simplify right side
    695.92x = 297,494.07
  5. Step 5: Solve for x
    x = 297,494.07/695.92
  6. Step 6: Final answer
    x = 427.48

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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.