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Finding the Fourth Proportional to 1,016.23, 1,402.43 and 574.18

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Solution

The fourth proportional to 1,016.23, 1,402.43 and 574.18 is: 792.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.23 : 1,402.43 = 574.18 : x
  2. Step 2: Convert to fraction form
    1,016.23/1,402.43 = 574.18/x
  3. Step 3: Cross multiply
    1,016.23x = 1,402.43 × 574.18
  4. Step 4: Simplify right side
    1,016.23x = 805,247.26
  5. Step 5: Solve for x
    x = 805,247.26/1,016.23
  6. Step 6: Final answer
    x = 792.39

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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.