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Finding the Fourth Proportional to 1,344.25, 2,014.93 and 564.06

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Solution

The fourth proportional to 1,344.25, 2,014.93 and 564.06 is: 845.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.25 : 2,014.93 = 564.06 : x
  2. Step 2: Convert to fraction form
    1,344.25/2,014.93 = 564.06/x
  3. Step 3: Cross multiply
    1,344.25x = 2,014.93 × 564.06
  4. Step 4: Simplify right side
    1,344.25x = 1,136,541.42
  5. Step 5: Solve for x
    x = 1,136,541.42/1,344.25
  6. Step 6: Final answer
    x = 845.48

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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.