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Finding the Fourth Proportional to 1,076.74, 1,614.51 and 638.05

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Solution

The fourth proportional to 1,076.74, 1,614.51 and 638.05 is: 956.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.74 : 1,614.51 = 638.05 : x
  2. Step 2: Convert to fraction form
    1,076.74/1,614.51 = 638.05/x
  3. Step 3: Cross multiply
    1,076.74x = 1,614.51 × 638.05
  4. Step 4: Simplify right side
    1,076.74x = 1,030,139.84
  5. Step 5: Solve for x
    x = 1,030,139.84/1,076.74
  6. Step 6: Final answer
    x = 956.72

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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.