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Finding the Fourth Proportional to 1,355.88, 2,034.26 and 490.26

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Solution

The fourth proportional to 1,355.88, 2,034.26 and 490.26 is: 735.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.88 : 2,034.26 = 490.26 : x
  2. Step 2: Convert to fraction form
    1,355.88/2,034.26 = 490.26/x
  3. Step 3: Cross multiply
    1,355.88x = 2,034.26 × 490.26
  4. Step 4: Simplify right side
    1,355.88x = 997,316.31
  5. Step 5: Solve for x
    x = 997,316.31/1,355.88
  6. Step 6: Final answer
    x = 735.55

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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.