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Finding the Fourth Proportional to 1,114.75, 1,672.22 and 345.25

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Solution

The fourth proportional to 1,114.75, 1,672.22 and 345.25 is: 517.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.75 : 1,672.22 = 345.25 : x
  2. Step 2: Convert to fraction form
    1,114.75/1,672.22 = 345.25/x
  3. Step 3: Cross multiply
    1,114.75x = 1,672.22 × 345.25
  4. Step 4: Simplify right side
    1,114.75x = 577,333.96
  5. Step 5: Solve for x
    x = 577,333.96/1,114.75
  6. Step 6: Final answer
    x = 517.90

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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.