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Finding the Fourth Proportional to 761.42, 1,142.13 and 436.56

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Solution

The fourth proportional to 761.42, 1,142.13 and 436.56 is: 654.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.42 : 1,142.13 = 436.56 : x
  2. Step 2: Convert to fraction form
    761.42/1,142.13 = 436.56/x
  3. Step 3: Cross multiply
    761.42x = 1,142.13 × 436.56
  4. Step 4: Simplify right side
    761.42x = 498,608.27
  5. Step 5: Solve for x
    x = 498,608.27/761.42
  6. Step 6: Final answer
    x = 654.84

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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.