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Finding the Fourth Proportional to 1,016.78, 1,403.14 and 574.68

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Solution

The fourth proportional to 1,016.78, 1,403.14 and 574.68 is: 793.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.78 : 1,403.14 = 574.68 : x
  2. Step 2: Convert to fraction form
    1,016.78/1,403.14 = 574.68/x
  3. Step 3: Cross multiply
    1,016.78x = 1,403.14 × 574.68
  4. Step 4: Simplify right side
    1,016.78x = 806,356.50
  5. Step 5: Solve for x
    x = 806,356.50/1,016.78
  6. Step 6: Final answer
    x = 793.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.