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Finding the Fourth Proportional to 1,184.81, 1,777.21 and 415.13

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Solution

The fourth proportional to 1,184.81, 1,777.21 and 415.13 is: 622.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.81 : 1,777.21 = 415.13 : x
  2. Step 2: Convert to fraction form
    1,184.81/1,777.21 = 415.13/x
  3. Step 3: Cross multiply
    1,184.81x = 1,777.21 × 415.13
  4. Step 4: Simplify right side
    1,184.81x = 737,763.26
  5. Step 5: Solve for x
    x = 737,763.26/1,184.81
  6. Step 6: Final answer
    x = 622.69

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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.