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Finding the Fourth Proportional to 1,356.16, 2,034.24 and 490.46

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Solution

The fourth proportional to 1,356.16, 2,034.24 and 490.46 is: 735.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.16 : 2,034.24 = 490.46 : x
  2. Step 2: Convert to fraction form
    1,356.16/2,034.24 = 490.46/x
  3. Step 3: Cross multiply
    1,356.16x = 2,034.24 × 490.46
  4. Step 4: Simplify right side
    1,356.16x = 997,713.35
  5. Step 5: Solve for x
    x = 997,713.35/1,356.16
  6. Step 6: Final answer
    x = 735.69

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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.