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Finding the Fourth Proportional to 1,016.93, 1,403.40 and 574.85

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Solution

The fourth proportional to 1,016.93, 1,403.40 and 574.85 is: 793.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.93 : 1,403.40 = 574.85 : x
  2. Step 2: Convert to fraction form
    1,016.93/1,403.40 = 574.85/x
  3. Step 3: Cross multiply
    1,016.93x = 1,403.40 × 574.85
  4. Step 4: Simplify right side
    1,016.93x = 806,744.49
  5. Step 5: Solve for x
    x = 806,744.49/1,016.93
  6. Step 6: Final answer
    x = 793.31

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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.