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Finding the Fourth Proportional to 1,142.21, 1,713.45 and 362.00

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Solution

The fourth proportional to 1,142.21, 1,713.45 and 362.00 is: 543.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.21 : 1,713.45 = 362.00 : x
  2. Step 2: Convert to fraction form
    1,142.21/1,713.45 = 362.00/x
  3. Step 3: Cross multiply
    1,142.21x = 1,713.45 × 362.00
  4. Step 4: Simplify right side
    1,142.21x = 620,260.33
  5. Step 5: Solve for x
    x = 620,260.33/1,142.21
  6. Step 6: Final answer
    x = 543.04

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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.