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Finding the Fourth Proportional to 844.99, 1,166.30 and 495.79

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Solution

The fourth proportional to 844.99, 1,166.30 and 495.79 is: 684.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.99 : 1,166.30 = 495.79 : x
  2. Step 2: Convert to fraction form
    844.99/1,166.30 = 495.79/x
  3. Step 3: Cross multiply
    844.99x = 1,166.30 × 495.79
  4. Step 4: Simplify right side
    844.99x = 578,239.88
  5. Step 5: Solve for x
    x = 578,239.88/844.99
  6. Step 6: Final answer
    x = 684.32

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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.