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Finding the Fourth Proportional to 1,137.52, 1,705.42 and 444.10

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Solution

The fourth proportional to 1,137.52, 1,705.42 and 444.10 is: 665.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.52 : 1,705.42 = 444.10 : x
  2. Step 2: Convert to fraction form
    1,137.52/1,705.42 = 444.10/x
  3. Step 3: Cross multiply
    1,137.52x = 1,705.42 × 444.10
  4. Step 4: Simplify right side
    1,137.52x = 757,377.02
  5. Step 5: Solve for x
    x = 757,377.02/1,137.52
  6. Step 6: Final answer
    x = 665.81

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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.