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Finding the Fourth Proportional to 893.48, 1,232.10 and 543.72

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Solution

The fourth proportional to 893.48, 1,232.10 and 543.72 is: 749.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.48 : 1,232.10 = 543.72 : x
  2. Step 2: Convert to fraction form
    893.48/1,232.10 = 543.72/x
  3. Step 3: Cross multiply
    893.48x = 1,232.10 × 543.72
  4. Step 4: Simplify right side
    893.48x = 669,917.41
  5. Step 5: Solve for x
    x = 669,917.41/893.48
  6. Step 6: Final answer
    x = 749.78

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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.