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Finding the Fourth Proportional to 1,256.94, 1,882.89 and 997.38

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Solution

The fourth proportional to 1,256.94, 1,882.89 and 997.38 is: 1,494.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.94 : 1,882.89 = 997.38 : x
  2. Step 2: Convert to fraction form
    1,256.94/1,882.89 = 997.38/x
  3. Step 3: Cross multiply
    1,256.94x = 1,882.89 × 997.38
  4. Step 4: Simplify right side
    1,256.94x = 1,877,956.83
  5. Step 5: Solve for x
    x = 1,877,956.83/1,256.94
  6. Step 6: Final answer
    x = 1,494.07

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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.