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Finding the Fourth Proportional to 941.72, 1,299.12 and 610.23

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Solution

The fourth proportional to 941.72, 1,299.12 and 610.23 is: 841.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.72 : 1,299.12 = 610.23 : x
  2. Step 2: Convert to fraction form
    941.72/1,299.12 = 610.23/x
  3. Step 3: Cross multiply
    941.72x = 1,299.12 × 610.23
  4. Step 4: Simplify right side
    941.72x = 792,762.00
  5. Step 5: Solve for x
    x = 792,762.00/941.72
  6. Step 6: Final answer
    x = 841.83

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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.