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Finding the Fourth Proportional to 1,289.24, 1,932.83 and 558.30

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Solution

The fourth proportional to 1,289.24, 1,932.83 and 558.30 is: 837.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.24 : 1,932.83 = 558.30 : x
  2. Step 2: Convert to fraction form
    1,289.24/1,932.83 = 558.30/x
  3. Step 3: Cross multiply
    1,289.24x = 1,932.83 × 558.30
  4. Step 4: Simplify right side
    1,289.24x = 1,079,096.20
  5. Step 5: Solve for x
    x = 1,079,096.20/1,289.24
  6. Step 6: Final answer
    x = 837.01

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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.