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Finding the Fourth Proportional to 696.37, 1,044.94 and 285.80

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Solution

The fourth proportional to 696.37, 1,044.94 and 285.80 is: 428.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.37 : 1,044.94 = 285.80 : x
  2. Step 2: Convert to fraction form
    696.37/1,044.94 = 285.80/x
  3. Step 3: Cross multiply
    696.37x = 1,044.94 × 285.80
  4. Step 4: Simplify right side
    696.37x = 298,638.63
  5. Step 5: Solve for x
    x = 298,638.63/696.37
  6. Step 6: Final answer
    x = 428.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.