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Finding the Fourth Proportional to 753.75, 1,042.34 and 719.37

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Solution

The fourth proportional to 753.75, 1,042.34 and 719.37 is: 994.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.75 : 1,042.34 = 719.37 : x
  2. Step 2: Convert to fraction form
    753.75/1,042.34 = 719.37/x
  3. Step 3: Cross multiply
    753.75x = 1,042.34 × 719.37
  4. Step 4: Simplify right side
    753.75x = 749,824.53
  5. Step 5: Solve for x
    x = 749,824.53/753.75
  6. Step 6: Final answer
    x = 994.79

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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.