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Finding the Fourth Proportional to 941.67, 1,299.52 and 563.95

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Solution

The fourth proportional to 941.67, 1,299.52 and 563.95 is: 778.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.67 : 1,299.52 = 563.95 : x
  2. Step 2: Convert to fraction form
    941.67/1,299.52 = 563.95/x
  3. Step 3: Cross multiply
    941.67x = 1,299.52 × 563.95
  4. Step 4: Simplify right side
    941.67x = 732,859.65
  5. Step 5: Solve for x
    x = 732,859.65/941.67
  6. Step 6: Final answer
    x = 778.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.