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Finding the Fourth Proportional to 1,016.16, 1,402.20 and 574.02

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Solution

The fourth proportional to 1,016.16, 1,402.20 and 574.02 is: 792.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.16 : 1,402.20 = 574.02 : x
  2. Step 2: Convert to fraction form
    1,016.16/1,402.20 = 574.02/x
  3. Step 3: Cross multiply
    1,016.16x = 1,402.20 × 574.02
  4. Step 4: Simplify right side
    1,016.16x = 804,890.84
  5. Step 5: Solve for x
    x = 804,890.84/1,016.16
  6. Step 6: Final answer
    x = 792.09

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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.