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Finding the Fourth Proportional to 761.79, 1,141.83 and 299.33

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Solution

The fourth proportional to 761.79, 1,141.83 and 299.33 is: 448.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.79 : 1,141.83 = 299.33 : x
  2. Step 2: Convert to fraction form
    761.79/1,141.83 = 299.33/x
  3. Step 3: Cross multiply
    761.79x = 1,141.83 × 299.33
  4. Step 4: Simplify right side
    761.79x = 341,783.97
  5. Step 5: Solve for x
    x = 341,783.97/761.79
  6. Step 6: Final answer
    x = 448.66

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