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Finding the Fourth Proportional to 1,167.31, 1,748.40 and 581.41

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Solution

The fourth proportional to 1,167.31, 1,748.40 and 581.41 is: 870.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.31 : 1,748.40 = 581.41 : x
  2. Step 2: Convert to fraction form
    1,167.31/1,748.40 = 581.41/x
  3. Step 3: Cross multiply
    1,167.31x = 1,748.40 × 581.41
  4. Step 4: Simplify right side
    1,167.31x = 1,016,537.24
  5. Step 5: Solve for x
    x = 1,016,537.24/1,167.31
  6. Step 6: Final answer
    x = 870.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.