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Finding the Fourth Proportional to 761.50, 1,049.79 and 540.96

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Solution

The fourth proportional to 761.50, 1,049.79 and 540.96 is: 745.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.50 : 1,049.79 = 540.96 : x
  2. Step 2: Convert to fraction form
    761.50/1,049.79 = 540.96/x
  3. Step 3: Cross multiply
    761.50x = 1,049.79 × 540.96
  4. Step 4: Simplify right side
    761.50x = 567,894.40
  5. Step 5: Solve for x
    x = 567,894.40/761.50
  6. Step 6: Final answer
    x = 745.76

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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.