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Finding the Fourth Proportional to 1,144.25, 1,716.09 and 322.48

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Solution

The fourth proportional to 1,144.25, 1,716.09 and 322.48 is: 483.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.25 : 1,716.09 = 322.48 : x
  2. Step 2: Convert to fraction form
    1,144.25/1,716.09 = 322.48/x
  3. Step 3: Cross multiply
    1,144.25x = 1,716.09 × 322.48
  4. Step 4: Simplify right side
    1,144.25x = 553,404.70
  5. Step 5: Solve for x
    x = 553,404.70/1,144.25
  6. Step 6: Final answer
    x = 483.64

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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.