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Finding the Fourth Proportional to 1,141.84, 1,711.72 and 448.96

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Solution

The fourth proportional to 1,141.84, 1,711.72 and 448.96 is: 673.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.84 : 1,711.72 = 448.96 : x
  2. Step 2: Convert to fraction form
    1,141.84/1,711.72 = 448.96/x
  3. Step 3: Cross multiply
    1,141.84x = 1,711.72 × 448.96
  4. Step 4: Simplify right side
    1,141.84x = 768,493.81
  5. Step 5: Solve for x
    x = 768,493.81/1,141.84
  6. Step 6: Final answer
    x = 673.03

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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.