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Finding the Fourth Proportional to 1,414.33, 1,951.90 and 784.92

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Solution

The fourth proportional to 1,414.33, 1,951.90 and 784.92 is: 1,083.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.33 : 1,951.90 = 784.92 : x
  2. Step 2: Convert to fraction form
    1,414.33/1,951.90 = 784.92/x
  3. Step 3: Cross multiply
    1,414.33x = 1,951.90 × 784.92
  4. Step 4: Simplify right side
    1,414.33x = 1,532,090.71
  5. Step 5: Solve for x
    x = 1,532,090.71/1,414.33
  6. Step 6: Final answer
    x = 1,083.26

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