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Finding the Fourth Proportional to 1,254.15, 1,881.87 and 514.30

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Solution

The fourth proportional to 1,254.15, 1,881.87 and 514.30 is: 771.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.15 : 1,881.87 = 514.30 : x
  2. Step 2: Convert to fraction form
    1,254.15/1,881.87 = 514.30/x
  3. Step 3: Cross multiply
    1,254.15x = 1,881.87 × 514.30
  4. Step 4: Simplify right side
    1,254.15x = 967,843.17
  5. Step 5: Solve for x
    x = 967,843.17/1,254.15
  6. Step 6: Final answer
    x = 771.71

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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.