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Finding the Fourth Proportional to 790.24, 1,183.29 and 557.88

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Solution

The fourth proportional to 790.24, 1,183.29 and 557.88 is: 835.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.24 : 1,183.29 = 557.88 : x
  2. Step 2: Convert to fraction form
    790.24/1,183.29 = 557.88/x
  3. Step 3: Cross multiply
    790.24x = 1,183.29 × 557.88
  4. Step 4: Simplify right side
    790.24x = 660,133.83
  5. Step 5: Solve for x
    x = 660,133.83/790.24
  6. Step 6: Final answer
    x = 835.36

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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.