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Finding the Fourth Proportional to 1,142.00, 1,713.25 and 362.24

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Solution

The fourth proportional to 1,142.00, 1,713.25 and 362.24 is: 543.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.00 : 1,713.25 = 362.24 : x
  2. Step 2: Convert to fraction form
    1,142.00/1,713.25 = 362.24/x
  3. Step 3: Cross multiply
    1,142.00x = 1,713.25 × 362.24
  4. Step 4: Simplify right side
    1,142.00x = 620,598.21
  5. Step 5: Solve for x
    x = 620,598.21/1,142.00
  6. Step 6: Final answer
    x = 543.43

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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.