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Finding the Fourth Proportional to 1,244.56, 1,866.84 and 514.08

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Solution

The fourth proportional to 1,244.56, 1,866.84 and 514.08 is: 771.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.56 : 1,866.84 = 514.08 : x
  2. Step 2: Convert to fraction form
    1,244.56/1,866.84 = 514.08/x
  3. Step 3: Cross multiply
    1,244.56x = 1,866.84 × 514.08
  4. Step 4: Simplify right side
    1,244.56x = 959,705.11
  5. Step 5: Solve for x
    x = 959,705.11/1,244.56
  6. Step 6: Final answer
    x = 771.12

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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.