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Finding the Fourth Proportional to 1,016.57, 1,402.89 and 574.49

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Solution

The fourth proportional to 1,016.57, 1,402.89 and 574.49 is: 792.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.57 : 1,402.89 = 574.49 : x
  2. Step 2: Convert to fraction form
    1,016.57/1,402.89 = 574.49/x
  3. Step 3: Cross multiply
    1,016.57x = 1,402.89 × 574.49
  4. Step 4: Simplify right side
    1,016.57x = 805,946.28
  5. Step 5: Solve for x
    x = 805,946.28/1,016.57
  6. Step 6: Final answer
    x = 792.81

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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.