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Finding the Fourth Proportional to 1,254.14, 1,881.06 and 329.77

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Solution

The fourth proportional to 1,254.14, 1,881.06 and 329.77 is: 494.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.14 : 1,881.06 = 329.77 : x
  2. Step 2: Convert to fraction form
    1,254.14/1,881.06 = 329.77/x
  3. Step 3: Cross multiply
    1,254.14x = 1,881.06 × 329.77
  4. Step 4: Simplify right side
    1,254.14x = 620,315.37
  5. Step 5: Solve for x
    x = 620,315.37/1,254.14
  6. Step 6: Final answer
    x = 494.61

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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.