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Finding the Fourth Proportional to 1,414.37, 1,951.93 and 784.96

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Solution

The fourth proportional to 1,414.37, 1,951.93 and 784.96 is: 1,083.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.37 : 1,951.93 = 784.96 : x
  2. Step 2: Convert to fraction form
    1,414.37/1,951.93 = 784.96/x
  3. Step 3: Cross multiply
    1,414.37x = 1,951.93 × 784.96
  4. Step 4: Simplify right side
    1,414.37x = 1,532,186.97
  5. Step 5: Solve for x
    x = 1,532,186.97/1,414.37
  6. Step 6: Final answer
    x = 1,083.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.