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Finding the Fourth Proportional to 943.99, 1,412.66 and 747.25

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Solution

The fourth proportional to 943.99, 1,412.66 and 747.25 is: 1,118.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.99 : 1,412.66 = 747.25 : x
  2. Step 2: Convert to fraction form
    943.99/1,412.66 = 747.25/x
  3. Step 3: Cross multiply
    943.99x = 1,412.66 × 747.25
  4. Step 4: Simplify right side
    943.99x = 1,055,608.52
  5. Step 5: Solve for x
    x = 1,055,608.52/943.99
  6. Step 6: Final answer
    x = 1,118.24

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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.