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Finding the Fourth Proportional to 761.99, 1,142.42 and 615.92

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Solution

The fourth proportional to 761.99, 1,142.42 and 615.92 is: 923.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.99 : 1,142.42 = 615.92 : x
  2. Step 2: Convert to fraction form
    761.99/1,142.42 = 615.92/x
  3. Step 3: Cross multiply
    761.99x = 1,142.42 × 615.92
  4. Step 4: Simplify right side
    761.99x = 703,630.53
  5. Step 5: Solve for x
    x = 703,630.53/761.99
  6. Step 6: Final answer
    x = 923.42

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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.