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Finding the Fourth Proportional to 1,137.61, 1,705.71 and 443.46

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Solution

The fourth proportional to 1,137.61, 1,705.71 and 443.46 is: 664.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.61 : 1,705.71 = 443.46 : x
  2. Step 2: Convert to fraction form
    1,137.61/1,705.71 = 443.46/x
  3. Step 3: Cross multiply
    1,137.61x = 1,705.71 × 443.46
  4. Step 4: Simplify right side
    1,137.61x = 756,414.16
  5. Step 5: Solve for x
    x = 756,414.16/1,137.61
  6. Step 6: Final answer
    x = 664.92

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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.