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Finding the Fourth Proportional to 993.67, 1,370.91 and 574.01

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Solution

The fourth proportional to 993.67, 1,370.91 and 574.01 is: 791.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.67 : 1,370.91 = 574.01 : x
  2. Step 2: Convert to fraction form
    993.67/1,370.91 = 574.01/x
  3. Step 3: Cross multiply
    993.67x = 1,370.91 × 574.01
  4. Step 4: Simplify right side
    993.67x = 786,914.06
  5. Step 5: Solve for x
    x = 786,914.06/993.67
  6. Step 6: Final answer
    x = 791.93

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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.