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Finding the Fourth Proportional to 845.21, 1,166.31 and 495.83

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Solution

The fourth proportional to 845.21, 1,166.31 and 495.83 is: 684.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.21 : 1,166.31 = 495.83 : x
  2. Step 2: Convert to fraction form
    845.21/1,166.31 = 495.83/x
  3. Step 3: Cross multiply
    845.21x = 1,166.31 × 495.83
  4. Step 4: Simplify right side
    845.21x = 578,291.49
  5. Step 5: Solve for x
    x = 578,291.49/845.21
  6. Step 6: Final answer
    x = 684.20

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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.