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Finding the Fourth Proportional to 696.23, 1,044.35 and 285.08

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Solution

The fourth proportional to 696.23, 1,044.35 and 285.08 is: 427.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.23 : 1,044.35 = 285.08 : x
  2. Step 2: Convert to fraction form
    696.23/1,044.35 = 285.08/x
  3. Step 3: Cross multiply
    696.23x = 1,044.35 × 285.08
  4. Step 4: Simplify right side
    696.23x = 297,723.30
  5. Step 5: Solve for x
    x = 297,723.30/696.23
  6. Step 6: Final answer
    x = 427.62

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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.