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Finding the Fourth Proportional to 761.94, 1,142.82 and 455.94

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Solution

The fourth proportional to 761.94, 1,142.82 and 455.94 is: 683.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.94 : 1,142.82 = 455.94 : x
  2. Step 2: Convert to fraction form
    761.94/1,142.82 = 455.94/x
  3. Step 3: Cross multiply
    761.94x = 1,142.82 × 455.94
  4. Step 4: Simplify right side
    761.94x = 521,057.35
  5. Step 5: Solve for x
    x = 521,057.35/761.94
  6. Step 6: Final answer
    x = 683.86

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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.