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Finding the Fourth Proportional to 883.60, 1,324.30 and 558.24

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Solution

The fourth proportional to 883.60, 1,324.30 and 558.24 is: 836.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.60 : 1,324.30 = 558.24 : x
  2. Step 2: Convert to fraction form
    883.60/1,324.30 = 558.24/x
  3. Step 3: Cross multiply
    883.60x = 1,324.30 × 558.24
  4. Step 4: Simplify right side
    883.60x = 739,277.23
  5. Step 5: Solve for x
    x = 739,277.23/883.60
  6. Step 6: Final answer
    x = 836.67

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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.