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Finding the Fourth Proportional to 1,274.06, 1,910.64 and 408.14

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Solution

The fourth proportional to 1,274.06, 1,910.64 and 408.14 is: 612.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.06 : 1,910.64 = 408.14 : x
  2. Step 2: Convert to fraction form
    1,274.06/1,910.64 = 408.14/x
  3. Step 3: Cross multiply
    1,274.06x = 1,910.64 × 408.14
  4. Step 4: Simplify right side
    1,274.06x = 779,808.61
  5. Step 5: Solve for x
    x = 779,808.61/1,274.06
  6. Step 6: Final answer
    x = 612.07

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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.