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Finding the Fourth Proportional to 902.74, 1,354.10 and 596.52

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Solution

The fourth proportional to 902.74, 1,354.10 and 596.52 is: 894.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.74 : 1,354.10 = 596.52 : x
  2. Step 2: Convert to fraction form
    902.74/1,354.10 = 596.52/x
  3. Step 3: Cross multiply
    902.74x = 1,354.10 × 596.52
  4. Step 4: Simplify right side
    902.74x = 807,749.22
  5. Step 5: Solve for x
    x = 807,749.22/902.74
  6. Step 6: Final answer
    x = 894.78

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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.