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Finding the Fourth Proportional to 1,016.46, 1,402.82 and 574.41

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Solution

The fourth proportional to 1,016.46, 1,402.82 and 574.41 is: 792.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.46 : 1,402.82 = 574.41 : x
  2. Step 2: Convert to fraction form
    1,016.46/1,402.82 = 574.41/x
  3. Step 3: Cross multiply
    1,016.46x = 1,402.82 × 574.41
  4. Step 4: Simplify right side
    1,016.46x = 805,790.96
  5. Step 5: Solve for x
    x = 805,790.96/1,016.46
  6. Step 6: Final answer
    x = 792.74

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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.