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Finding the Fourth Proportional to 695.70, 1,044.54 and 285.63

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Solution

The fourth proportional to 695.70, 1,044.54 and 285.63 is: 428.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.70 : 1,044.54 = 285.63 : x
  2. Step 2: Convert to fraction form
    695.70/1,044.54 = 285.63/x
  3. Step 3: Cross multiply
    695.70x = 1,044.54 × 285.63
  4. Step 4: Simplify right side
    695.70x = 298,351.96
  5. Step 5: Solve for x
    x = 298,351.96/695.70
  6. Step 6: Final answer
    x = 428.85

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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.