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Finding the Fourth Proportional to 761.67, 1,143.15 and 299.77

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Solution

The fourth proportional to 761.67, 1,143.15 and 299.77 is: 449.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.67 : 1,143.15 = 299.77 : x
  2. Step 2: Convert to fraction form
    761.67/1,143.15 = 299.77/x
  3. Step 3: Cross multiply
    761.67x = 1,143.15 × 299.77
  4. Step 4: Simplify right side
    761.67x = 342,678.47
  5. Step 5: Solve for x
    x = 342,678.47/761.67
  6. Step 6: Final answer
    x = 449.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.