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Finding the Fourth Proportional to 1,184.68, 1,776.84 and 415

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Solution

The fourth proportional to 1,184.68, 1,776.84 and 415 is: 622.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.68 : 1,776.84 = 415 : x
  2. Step 2: Convert to fraction form
    1,184.68/1,776.84 = 415/x
  3. Step 3: Cross multiply
    1,184.68x = 1,776.84 × 415
  4. Step 4: Simplify right side
    1,184.68x = 737,388.60
  5. Step 5: Solve for x
    x = 737,388.60/1,184.68
  6. Step 6: Final answer
    x = 622.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.