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Finding the Fourth Proportional to 1,137.70, 1,706.73 and 488.44

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Solution

The fourth proportional to 1,137.70, 1,706.73 and 488.44 is: 732.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.70 : 1,706.73 = 488.44 : x
  2. Step 2: Convert to fraction form
    1,137.70/1,706.73 = 488.44/x
  3. Step 3: Cross multiply
    1,137.70x = 1,706.73 × 488.44
  4. Step 4: Simplify right side
    1,137.70x = 833,635.20
  5. Step 5: Solve for x
    x = 833,635.20/1,137.70
  6. Step 6: Final answer
    x = 732.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.