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Finding the Fourth Proportional to 1,016.89, 1,403.40 and 574.90

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Solution

The fourth proportional to 1,016.89, 1,403.40 and 574.90 is: 793.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.89 : 1,403.40 = 574.90 : x
  2. Step 2: Convert to fraction form
    1,016.89/1,403.40 = 574.90/x
  3. Step 3: Cross multiply
    1,016.89x = 1,403.40 × 574.90
  4. Step 4: Simplify right side
    1,016.89x = 806,814.66
  5. Step 5: Solve for x
    x = 806,814.66/1,016.89
  6. Step 6: Final answer
    x = 793.41

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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.