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Finding the Fourth Proportional to 753, 1,039.20 and 442.56

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Solution

The fourth proportional to 753, 1,039.20 and 442.56 is: 610.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    753 : 1,039.20 = 442.56 : x
  2. Step 2: Convert to fraction form
    753/1,039.20 = 442.56/x
  3. Step 3: Cross multiply
    753x = 1,039.20 × 442.56
  4. Step 4: Simplify right side
    753x = 459,908.35
  5. Step 5: Solve for x
    x = 459,908.35/753
  6. Step 6: Final answer
    x = 610.77

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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.