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Finding the Fourth Proportional to 1,016.14, 1,402.19 and 574.09

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Solution

The fourth proportional to 1,016.14, 1,402.19 and 574.09 is: 792.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.14 : 1,402.19 = 574.09 : x
  2. Step 2: Convert to fraction form
    1,016.14/1,402.19 = 574.09/x
  3. Step 3: Cross multiply
    1,016.14x = 1,402.19 × 574.09
  4. Step 4: Simplify right side
    1,016.14x = 804,983.26
  5. Step 5: Solve for x
    x = 804,983.26/1,016.14
  6. Step 6: Final answer
    x = 792.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.