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Finding the Fourth Proportional to 1,037.17, 1,431.36 and 571.42

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Solution

The fourth proportional to 1,037.17, 1,431.36 and 571.42 is: 788.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.17 : 1,431.36 = 571.42 : x
  2. Step 2: Convert to fraction form
    1,037.17/1,431.36 = 571.42/x
  3. Step 3: Cross multiply
    1,037.17x = 1,431.36 × 571.42
  4. Step 4: Simplify right side
    1,037.17x = 817,897.72
  5. Step 5: Solve for x
    x = 817,897.72/1,037.17
  6. Step 6: Final answer
    x = 788.59

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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.