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Finding the Fourth Proportional to 1,244.82, 1,865.88 and 514.02

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Solution

The fourth proportional to 1,244.82, 1,865.88 and 514.02 is: 770.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.82 : 1,865.88 = 514.02 : x
  2. Step 2: Convert to fraction form
    1,244.82/1,865.88 = 514.02/x
  3. Step 3: Cross multiply
    1,244.82x = 1,865.88 × 514.02
  4. Step 4: Simplify right side
    1,244.82x = 959,099.64
  5. Step 5: Solve for x
    x = 959,099.64/1,244.82
  6. Step 6: Final answer
    x = 770.47

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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.