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Finding the Fourth Proportional to 753.88, 1,039.74 and 543.64

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Solution

The fourth proportional to 753.88, 1,039.74 and 543.64 is: 749.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.88 : 1,039.74 = 543.64 : x
  2. Step 2: Convert to fraction form
    753.88/1,039.74 = 543.64/x
  3. Step 3: Cross multiply
    753.88x = 1,039.74 × 543.64
  4. Step 4: Simplify right side
    753.88x = 565,244.25
  5. Step 5: Solve for x
    x = 565,244.25/753.88
  6. Step 6: Final answer
    x = 749.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.