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Finding the Fourth Proportional to 1,137.61, 1,706.27 and 669.36

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Solution

The fourth proportional to 1,137.61, 1,706.27 and 669.36 is: 1,003.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.61 : 1,706.27 = 669.36 : x
  2. Step 2: Convert to fraction form
    1,137.61/1,706.27 = 669.36/x
  3. Step 3: Cross multiply
    1,137.61x = 1,706.27 × 669.36
  4. Step 4: Simplify right side
    1,137.61x = 1,142,108.89
  5. Step 5: Solve for x
    x = 1,142,108.89/1,137.61
  6. Step 6: Final answer
    x = 1,003.96

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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.