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Finding the Fourth Proportional to 1,137.98, 1,707.42 and 488.72

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Solution

The fourth proportional to 1,137.98, 1,707.42 and 488.72 is: 733.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.98 : 1,707.42 = 488.72 : x
  2. Step 2: Convert to fraction form
    1,137.98/1,707.42 = 488.72/x
  3. Step 3: Cross multiply
    1,137.98x = 1,707.42 × 488.72
  4. Step 4: Simplify right side
    1,137.98x = 834,450.30
  5. Step 5: Solve for x
    x = 834,450.30/1,137.98
  6. Step 6: Final answer
    x = 733.27

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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.