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Finding the Fourth Proportional to 1,176.08, 1,755.41 and 1,037.70

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Solution

The fourth proportional to 1,176.08, 1,755.41 and 1,037.70 is: 1,548.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.08 : 1,755.41 = 1,037.70 : x
  2. Step 2: Convert to fraction form
    1,176.08/1,755.41 = 1,037.70/x
  3. Step 3: Cross multiply
    1,176.08x = 1,755.41 × 1,037.70
  4. Step 4: Simplify right side
    1,176.08x = 1,821,583.77
  5. Step 5: Solve for x
    x = 1,821,583.77/1,176.08
  6. Step 6: Final answer
    x = 1,548.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.