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Finding the Fourth Proportional to 761.79, 1,142.69 and 396.69

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Solution

The fourth proportional to 761.79, 1,142.69 and 396.69 is: 595.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.79 : 1,142.69 = 396.69 : x
  2. Step 2: Convert to fraction form
    761.79/1,142.69 = 396.69/x
  3. Step 3: Cross multiply
    761.79x = 1,142.69 × 396.69
  4. Step 4: Simplify right side
    761.79x = 453,293.70
  5. Step 5: Solve for x
    x = 453,293.70/761.79
  6. Step 6: Final answer
    x = 595.04

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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.