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Finding the Fourth Proportional to 1,037.18, 1,431.31 and 571.43

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Solution

The fourth proportional to 1,037.18, 1,431.31 and 571.43 is: 788.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.18 : 1,431.31 = 571.43 : x
  2. Step 2: Convert to fraction form
    1,037.18/1,431.31 = 571.43/x
  3. Step 3: Cross multiply
    1,037.18x = 1,431.31 × 571.43
  4. Step 4: Simplify right side
    1,037.18x = 817,893.47
  5. Step 5: Solve for x
    x = 817,893.47/1,037.18
  6. Step 6: Final answer
    x = 788.57

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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.