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Finding the Fourth Proportional to 1,282.94, 1,924.89 and 513.50

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Solution

The fourth proportional to 1,282.94, 1,924.89 and 513.50 is: 770.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.94 : 1,924.89 = 513.50 : x
  2. Step 2: Convert to fraction form
    1,282.94/1,924.89 = 513.50/x
  3. Step 3: Cross multiply
    1,282.94x = 1,924.89 × 513.50
  4. Step 4: Simplify right side
    1,282.94x = 988,431.02
  5. Step 5: Solve for x
    x = 988,431.02/1,282.94
  6. Step 6: Final answer
    x = 770.44

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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.