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Finding the Fourth Proportional to 841.27, 1,161.48 and 547.37

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Solution

The fourth proportional to 841.27, 1,161.48 and 547.37 is: 755.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.27 : 1,161.48 = 547.37 : x
  2. Step 2: Convert to fraction form
    841.27/1,161.48 = 547.37/x
  3. Step 3: Cross multiply
    841.27x = 1,161.48 × 547.37
  4. Step 4: Simplify right side
    841.27x = 635,762.21
  5. Step 5: Solve for x
    x = 635,762.21/841.27
  6. Step 6: Final answer
    x = 755.72

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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.