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Finding the Fourth Proportional to 1,137.73, 1,572.58 and 1,037.77

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Solution

The fourth proportional to 1,137.73, 1,572.58 and 1,037.77 is: 1,434.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.73 : 1,572.58 = 1,037.77 : x
  2. Step 2: Convert to fraction form
    1,137.73/1,572.58 = 1,037.77/x
  3. Step 3: Cross multiply
    1,137.73x = 1,572.58 × 1,037.77
  4. Step 4: Simplify right side
    1,137.73x = 1,631,980.39
  5. Step 5: Solve for x
    x = 1,631,980.39/1,137.73
  6. Step 6: Final answer
    x = 1,434.41

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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.