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Finding the Fourth Proportional to 1,356.20, 2,034.24 and 490.52

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Solution

The fourth proportional to 1,356.20, 2,034.24 and 490.52 is: 735.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.20 : 2,034.24 = 490.52 : x
  2. Step 2: Convert to fraction form
    1,356.20/2,034.24 = 490.52/x
  3. Step 3: Cross multiply
    1,356.20x = 2,034.24 × 490.52
  4. Step 4: Simplify right side
    1,356.20x = 997,835.40
  5. Step 5: Solve for x
    x = 997,835.40/1,356.20
  6. Step 6: Final answer
    x = 735.76

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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.