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Finding the Fourth Proportional to 732.22, 1,096.59 and 558.67

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Solution

The fourth proportional to 732.22, 1,096.59 and 558.67 is: 836.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.22 : 1,096.59 = 558.67 : x
  2. Step 2: Convert to fraction form
    732.22/1,096.59 = 558.67/x
  3. Step 3: Cross multiply
    732.22x = 1,096.59 × 558.67
  4. Step 4: Simplify right side
    732.22x = 612,631.94
  5. Step 5: Solve for x
    x = 612,631.94/732.22
  6. Step 6: Final answer
    x = 836.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.