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Finding the Fourth Proportional to 1,244.08, 1,864.44 and 513.04

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Solution

The fourth proportional to 1,244.08, 1,864.44 and 513.04 is: 768.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.08 : 1,864.44 = 513.04 : x
  2. Step 2: Convert to fraction form
    1,244.08/1,864.44 = 513.04/x
  3. Step 3: Cross multiply
    1,244.08x = 1,864.44 × 513.04
  4. Step 4: Simplify right side
    1,244.08x = 956,532.30
  5. Step 5: Solve for x
    x = 956,532.30/1,244.08
  6. Step 6: Final answer
    x = 768.87

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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.