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Finding the Fourth Proportional to 1,254.15, 1,881.48 and 376.61

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Solution

The fourth proportional to 1,254.15, 1,881.48 and 376.61 is: 564.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.15 : 1,881.48 = 376.61 : x
  2. Step 2: Convert to fraction form
    1,254.15/1,881.48 = 376.61/x
  3. Step 3: Cross multiply
    1,254.15x = 1,881.48 × 376.61
  4. Step 4: Simplify right side
    1,254.15x = 708,584.18
  5. Step 5: Solve for x
    x = 708,584.18/1,254.15
  6. Step 6: Final answer
    x = 564.99

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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.