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Finding the Fourth Proportional to 842.64, 1,162.32 and 576.96

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Solution

The fourth proportional to 842.64, 1,162.32 and 576.96 is: 795.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.64 : 1,162.32 = 576.96 : x
  2. Step 2: Convert to fraction form
    842.64/1,162.32 = 576.96/x
  3. Step 3: Cross multiply
    842.64x = 1,162.32 × 576.96
  4. Step 4: Simplify right side
    842.64x = 670,612.15
  5. Step 5: Solve for x
    x = 670,612.15/842.64
  6. Step 6: Final answer
    x = 795.85

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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.