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Finding the Fourth Proportional to 1,017.07, 1,399.91 and 721.83

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Solution

The fourth proportional to 1,017.07, 1,399.91 and 721.83 is: 993.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.07 : 1,399.91 = 721.83 : x
  2. Step 2: Convert to fraction form
    1,017.07/1,399.91 = 721.83/x
  3. Step 3: Cross multiply
    1,017.07x = 1,399.91 × 721.83
  4. Step 4: Simplify right side
    1,017.07x = 1,010,486.43
  5. Step 5: Solve for x
    x = 1,010,486.43/1,017.07
  6. Step 6: Final answer
    x = 993.53

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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.