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Finding the Fourth Proportional to 842.02, 1,162.18 and 546.77

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Solution

The fourth proportional to 842.02, 1,162.18 and 546.77 is: 754.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.02 : 1,162.18 = 546.77 : x
  2. Step 2: Convert to fraction form
    842.02/1,162.18 = 546.77/x
  3. Step 3: Cross multiply
    842.02x = 1,162.18 × 546.77
  4. Step 4: Simplify right side
    842.02x = 635,446.70
  5. Step 5: Solve for x
    x = 635,446.70/842.02
  6. Step 6: Final answer
    x = 754.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.