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Finding the Fourth Proportional to 1,356.46, 2,035.23 and 490.84

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Solution

The fourth proportional to 1,356.46, 2,035.23 and 490.84 is: 736.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.46 : 2,035.23 = 490.84 : x
  2. Step 2: Convert to fraction form
    1,356.46/2,035.23 = 490.84/x
  3. Step 3: Cross multiply
    1,356.46x = 2,035.23 × 490.84
  4. Step 4: Simplify right side
    1,356.46x = 998,972.29
  5. Step 5: Solve for x
    x = 998,972.29/1,356.46
  6. Step 6: Final answer
    x = 736.46

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Why These Related Problems?

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