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Finding the Fourth Proportional to 845.26, 1,166.34 and 495.88

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Solution

The fourth proportional to 845.26, 1,166.34 and 495.88 is: 684.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.26 : 1,166.34 = 495.88 : x
  2. Step 2: Convert to fraction form
    845.26/1,166.34 = 495.88/x
  3. Step 3: Cross multiply
    845.26x = 1,166.34 × 495.88
  4. Step 4: Simplify right side
    845.26x = 578,364.68
  5. Step 5: Solve for x
    x = 578,364.68/845.26
  6. Step 6: Final answer
    x = 684.24

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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.