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Finding the Fourth Proportional to 1,349.13, 2,021.25 and 567.74

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Solution

The fourth proportional to 1,349.13, 2,021.25 and 567.74 is: 850.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.13 : 2,021.25 = 567.74 : x
  2. Step 2: Convert to fraction form
    1,349.13/2,021.25 = 567.74/x
  3. Step 3: Cross multiply
    1,349.13x = 2,021.25 × 567.74
  4. Step 4: Simplify right side
    1,349.13x = 1,147,534.37
  5. Step 5: Solve for x
    x = 1,147,534.37/1,349.13
  6. Step 6: Final answer
    x = 850.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.