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Finding the Fourth Proportional to 1,037.66, 1,431.96 and 571.91

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Solution

The fourth proportional to 1,037.66, 1,431.96 and 571.91 is: 789.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.66 : 1,431.96 = 571.91 : x
  2. Step 2: Convert to fraction form
    1,037.66/1,431.96 = 571.91/x
  3. Step 3: Cross multiply
    1,037.66x = 1,431.96 × 571.91
  4. Step 4: Simplify right side
    1,037.66x = 818,947.23
  5. Step 5: Solve for x
    x = 818,947.23/1,037.66
  6. Step 6: Final answer
    x = 789.23

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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.