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Finding the Fourth Proportional to 1,344.75, 2,017.94 and 575.25

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Solution

The fourth proportional to 1,344.75, 2,017.94 and 575.25 is: 863.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.75 : 2,017.94 = 575.25 : x
  2. Step 2: Convert to fraction form
    1,344.75/2,017.94 = 575.25/x
  3. Step 3: Cross multiply
    1,344.75x = 2,017.94 × 575.25
  4. Step 4: Simplify right side
    1,344.75x = 1,160,817.11
  5. Step 5: Solve for x
    x = 1,160,817.11/1,344.75
  6. Step 6: Final answer
    x = 863.22

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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.