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Finding the Fourth Proportional to 761.68, 1,137.92 and 485.44

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Solution

The fourth proportional to 761.68, 1,137.92 and 485.44 is: 725.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.68 : 1,137.92 = 485.44 : x
  2. Step 2: Convert to fraction form
    761.68/1,137.92 = 485.44/x
  3. Step 3: Cross multiply
    761.68x = 1,137.92 × 485.44
  4. Step 4: Simplify right side
    761.68x = 552,391.88
  5. Step 5: Solve for x
    x = 552,391.88/761.68
  6. Step 6: Final answer
    x = 725.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.