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Finding the Fourth Proportional to 1,016.09, 1,402.26 and 574.14

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Solution

The fourth proportional to 1,016.09, 1,402.26 and 574.14 is: 792.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.09 : 1,402.26 = 574.14 : x
  2. Step 2: Convert to fraction form
    1,016.09/1,402.26 = 574.14/x
  3. Step 3: Cross multiply
    1,016.09x = 1,402.26 × 574.14
  4. Step 4: Simplify right side
    1,016.09x = 805,092.00
  5. Step 5: Solve for x
    x = 805,092.00/1,016.09
  6. Step 6: Final answer
    x = 792.34

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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.