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Finding the Fourth Proportional to 840.86, 1,159.84 and 542.49

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Solution

The fourth proportional to 840.86, 1,159.84 and 542.49 is: 748.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.86 : 1,159.84 = 542.49 : x
  2. Step 2: Convert to fraction form
    840.86/1,159.84 = 542.49/x
  3. Step 3: Cross multiply
    840.86x = 1,159.84 × 542.49
  4. Step 4: Simplify right side
    840.86x = 629,201.60
  5. Step 5: Solve for x
    x = 629,201.60/840.86
  6. Step 6: Final answer
    x = 748.28

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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.