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Finding the Fourth Proportional to 757.21, 1,135.95 and 324.13

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Solution

The fourth proportional to 757.21, 1,135.95 and 324.13 is: 486.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.21 : 1,135.95 = 324.13 : x
  2. Step 2: Convert to fraction form
    757.21/1,135.95 = 324.13/x
  3. Step 3: Cross multiply
    757.21x = 1,135.95 × 324.13
  4. Step 4: Simplify right side
    757.21x = 368,195.47
  5. Step 5: Solve for x
    x = 368,195.47/757.21
  6. Step 6: Final answer
    x = 486.25

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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.