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Finding the Fourth Proportional to 1,414.94, 2,123.04 and 764.92

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Solution

The fourth proportional to 1,414.94, 2,123.04 and 764.92 is: 1,147.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.94 : 2,123.04 = 764.92 : x
  2. Step 2: Convert to fraction form
    1,414.94/2,123.04 = 764.92/x
  3. Step 3: Cross multiply
    1,414.94x = 2,123.04 × 764.92
  4. Step 4: Simplify right side
    1,414.94x = 1,623,955.76
  5. Step 5: Solve for x
    x = 1,623,955.76/1,414.94
  6. Step 6: Final answer
    x = 1,147.72

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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.