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Finding the Fourth Proportional to 1,184.30, 1,776.65 and 490.58

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Solution

The fourth proportional to 1,184.30, 1,776.65 and 490.58 is: 735.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.30 : 1,776.65 = 490.58 : x
  2. Step 2: Convert to fraction form
    1,184.30/1,776.65 = 490.58/x
  3. Step 3: Cross multiply
    1,184.30x = 1,776.65 × 490.58
  4. Step 4: Simplify right side
    1,184.30x = 871,577.62
  5. Step 5: Solve for x
    x = 871,577.62/1,184.30
  6. Step 6: Final answer
    x = 735.95

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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.