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Finding the Fourth Proportional to 1,343.69, 2,014.07 and 564.11

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Solution

The fourth proportional to 1,343.69, 2,014.07 and 564.11 is: 845.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.69 : 2,014.07 = 564.11 : x
  2. Step 2: Convert to fraction form
    1,343.69/2,014.07 = 564.11/x
  3. Step 3: Cross multiply
    1,343.69x = 2,014.07 × 564.11
  4. Step 4: Simplify right side
    1,343.69x = 1,136,163.47
  5. Step 5: Solve for x
    x = 1,136,163.47/1,343.69
  6. Step 6: Final answer
    x = 845.56

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Why These Related Problems?

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