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Finding the Fourth Proportional to 1,244.78, 1,865.49 and 474.86

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Solution

The fourth proportional to 1,244.78, 1,865.49 and 474.86 is: 711.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.78 : 1,865.49 = 474.86 : x
  2. Step 2: Convert to fraction form
    1,244.78/1,865.49 = 474.86/x
  3. Step 3: Cross multiply
    1,244.78x = 1,865.49 × 474.86
  4. Step 4: Simplify right side
    1,244.78x = 885,846.58
  5. Step 5: Solve for x
    x = 885,846.58/1,244.78
  6. Step 6: Final answer
    x = 711.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.