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Finding the Fourth Proportional to 1,184.48, 1,777 and 415.04

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Solution

The fourth proportional to 1,184.48, 1,777 and 415.04 is: 622.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.48 : 1,777 = 415.04 : x
  2. Step 2: Convert to fraction form
    1,184.48/1,777 = 415.04/x
  3. Step 3: Cross multiply
    1,184.48x = 1,777 × 415.04
  4. Step 4: Simplify right side
    1,184.48x = 737,526.08
  5. Step 5: Solve for x
    x = 737,526.08/1,184.48
  6. Step 6: Final answer
    x = 622.66

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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.