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Finding the Fourth Proportional to 1,106.38, 1,660.20 and 490.06

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Solution

The fourth proportional to 1,106.38, 1,660.20 and 490.06 is: 735.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.38 : 1,660.20 = 490.06 : x
  2. Step 2: Convert to fraction form
    1,106.38/1,660.20 = 490.06/x
  3. Step 3: Cross multiply
    1,106.38x = 1,660.20 × 490.06
  4. Step 4: Simplify right side
    1,106.38x = 813,597.61
  5. Step 5: Solve for x
    x = 813,597.61/1,106.38
  6. Step 6: Final answer
    x = 735.37

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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.