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Finding the Fourth Proportional to 1,244.78, 1,867.53 and 513.98

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Solution

The fourth proportional to 1,244.78, 1,867.53 and 513.98 is: 771.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.78 : 1,867.53 = 513.98 : x
  2. Step 2: Convert to fraction form
    1,244.78/1,867.53 = 513.98/x
  3. Step 3: Cross multiply
    1,244.78x = 1,867.53 × 513.98
  4. Step 4: Simplify right side
    1,244.78x = 959,873.07
  5. Step 5: Solve for x
    x = 959,873.07/1,244.78
  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.