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Finding the Fourth Proportional to 1,106.61, 1,660.30 and 490.37

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Solution

The fourth proportional to 1,106.61, 1,660.30 and 490.37 is: 735.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.61 : 1,660.30 = 490.37 : x
  2. Step 2: Convert to fraction form
    1,106.61/1,660.30 = 490.37/x
  3. Step 3: Cross multiply
    1,106.61x = 1,660.30 × 490.37
  4. Step 4: Simplify right side
    1,106.61x = 814,151.78
  5. Step 5: Solve for x
    x = 814,151.78/1,106.61
  6. Step 6: Final answer
    x = 735.72

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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.