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Finding the Fourth Proportional to 844.58, 1,164.30 and 549.74

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Solution

The fourth proportional to 844.58, 1,164.30 and 549.74 is: 757.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.58 : 1,164.30 = 549.74 : x
  2. Step 2: Convert to fraction form
    844.58/1,164.30 = 549.74/x
  3. Step 3: Cross multiply
    844.58x = 1,164.30 × 549.74
  4. Step 4: Simplify right side
    844.58x = 640,062.28
  5. Step 5: Solve for x
    x = 640,062.28/844.58
  6. Step 6: Final answer
    x = 757.85

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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.