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Finding the Fourth Proportional to 1,274.24, 1,911.04 and 452.48

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Solution

The fourth proportional to 1,274.24, 1,911.04 and 452.48 is: 678.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.24 : 1,911.04 = 452.48 : x
  2. Step 2: Convert to fraction form
    1,274.24/1,911.04 = 452.48/x
  3. Step 3: Cross multiply
    1,274.24x = 1,911.04 × 452.48
  4. Step 4: Simplify right side
    1,274.24x = 864,707.38
  5. Step 5: Solve for x
    x = 864,707.38/1,274.24
  6. Step 6: Final answer
    x = 678.61

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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.