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Finding the Fourth Proportional to 930.75, 1,395.09 and 565.44

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Solution

The fourth proportional to 930.75, 1,395.09 and 565.44 is: 847.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.75 : 1,395.09 = 565.44 : x
  2. Step 2: Convert to fraction form
    930.75/1,395.09 = 565.44/x
  3. Step 3: Cross multiply
    930.75x = 1,395.09 × 565.44
  4. Step 4: Simplify right side
    930.75x = 788,839.69
  5. Step 5: Solve for x
    x = 788,839.69/930.75
  6. Step 6: Final answer
    x = 847.53

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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.