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Finding the Fourth Proportional to 761.27, 1,049.76 and 651.11

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Solution

The fourth proportional to 761.27, 1,049.76 and 651.11 is: 897.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.27 : 1,049.76 = 651.11 : x
  2. Step 2: Convert to fraction form
    761.27/1,049.76 = 651.11/x
  3. Step 3: Cross multiply
    761.27x = 1,049.76 × 651.11
  4. Step 4: Simplify right side
    761.27x = 683,503.98
  5. Step 5: Solve for x
    x = 683,503.98/761.27
  6. Step 6: Final answer
    x = 897.85

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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.