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Finding the Fourth Proportional to 761.39, 1,142.12 and 213.63

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Solution

The fourth proportional to 761.39, 1,142.12 and 213.63 is: 320.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.39 : 1,142.12 = 213.63 : x
  2. Step 2: Convert to fraction form
    761.39/1,142.12 = 213.63/x
  3. Step 3: Cross multiply
    761.39x = 1,142.12 × 213.63
  4. Step 4: Simplify right side
    761.39x = 243,991.10
  5. Step 5: Solve for x
    x = 243,991.10/761.39
  6. Step 6: Final answer
    x = 320.45

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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.