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Finding the Fourth Proportional to 1,220.43, 1,830.78 and 490.02

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Solution

The fourth proportional to 1,220.43, 1,830.78 and 490.02 is: 735.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.43 : 1,830.78 = 490.02 : x
  2. Step 2: Convert to fraction form
    1,220.43/1,830.78 = 490.02/x
  3. Step 3: Cross multiply
    1,220.43x = 1,830.78 × 490.02
  4. Step 4: Simplify right side
    1,220.43x = 897,118.82
  5. Step 5: Solve for x
    x = 897,118.82/1,220.43
  6. Step 6: Final answer
    x = 735.08

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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.