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Finding the Fourth Proportional to 1,184.06, 1,776.04 and 490.54

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Solution

The fourth proportional to 1,184.06, 1,776.04 and 490.54 is: 735.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.06 : 1,776.04 = 490.54 : x
  2. Step 2: Convert to fraction form
    1,184.06/1,776.04 = 490.54/x
  3. Step 3: Cross multiply
    1,184.06x = 1,776.04 × 490.54
  4. Step 4: Simplify right side
    1,184.06x = 871,218.66
  5. Step 5: Solve for x
    x = 871,218.66/1,184.06
  6. Step 6: Final answer
    x = 735.79

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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.