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Finding the Fourth Proportional to 761.64, 1,142.26 and 541.62

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Solution

The fourth proportional to 761.64, 1,142.26 and 541.62 is: 812.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.64 : 1,142.26 = 541.62 : x
  2. Step 2: Convert to fraction form
    761.64/1,142.26 = 541.62/x
  3. Step 3: Cross multiply
    761.64x = 1,142.26 × 541.62
  4. Step 4: Simplify right side
    761.64x = 618,670.86
  5. Step 5: Solve for x
    x = 618,670.86/761.64
  6. Step 6: Final answer
    x = 812.29

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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.