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Finding the Fourth Proportional to 1,137.05, 1,569.20 and 639.71

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Solution

The fourth proportional to 1,137.05, 1,569.20 and 639.71 is: 882.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.05 : 1,569.20 = 639.71 : x
  2. Step 2: Convert to fraction form
    1,137.05/1,569.20 = 639.71/x
  3. Step 3: Cross multiply
    1,137.05x = 1,569.20 × 639.71
  4. Step 4: Simplify right side
    1,137.05x = 1,003,821.89
  5. Step 5: Solve for x
    x = 1,003,821.89/1,137.05
  6. Step 6: Final answer
    x = 882.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.