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Finding the Fourth Proportional to 1,016.13, 1,402.34 and 573.87

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Solution

The fourth proportional to 1,016.13, 1,402.34 and 573.87 is: 791.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.13 : 1,402.34 = 573.87 : x
  2. Step 2: Convert to fraction form
    1,016.13/1,402.34 = 573.87/x
  3. Step 3: Cross multiply
    1,016.13x = 1,402.34 × 573.87
  4. Step 4: Simplify right side
    1,016.13x = 804,763.25
  5. Step 5: Solve for x
    x = 804,763.25/1,016.13
  6. Step 6: Final answer
    x = 791.99

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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.