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Finding the Fourth Proportional to 843.74, 1,164.36 and 549.53

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Solution

The fourth proportional to 843.74, 1,164.36 and 549.53 is: 758.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.74 : 1,164.36 = 549.53 : x
  2. Step 2: Convert to fraction form
    843.74/1,164.36 = 549.53/x
  3. Step 3: Cross multiply
    843.74x = 1,164.36 × 549.53
  4. Step 4: Simplify right side
    843.74x = 639,844.93
  5. Step 5: Solve for x
    x = 639,844.93/843.74
  6. Step 6: Final answer
    x = 758.35

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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.