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Finding the Fourth Proportional to 1,137.27, 1,704.65 and 478.96

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Solution

The fourth proportional to 1,137.27, 1,704.65 and 478.96 is: 717.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.27 : 1,704.65 = 478.96 : x
  2. Step 2: Convert to fraction form
    1,137.27/1,704.65 = 478.96/x
  3. Step 3: Cross multiply
    1,137.27x = 1,704.65 × 478.96
  4. Step 4: Simplify right side
    1,137.27x = 816,459.16
  5. Step 5: Solve for x
    x = 816,459.16/1,137.27
  6. Step 6: Final answer
    x = 717.91

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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.