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Finding the Fourth Proportional to 842.62, 1,264.06 and 355.74

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Solution

The fourth proportional to 842.62, 1,264.06 and 355.74 is: 533.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.62 : 1,264.06 = 355.74 : x
  2. Step 2: Convert to fraction form
    842.62/1,264.06 = 355.74/x
  3. Step 3: Cross multiply
    842.62x = 1,264.06 × 355.74
  4. Step 4: Simplify right side
    842.62x = 449,676.70
  5. Step 5: Solve for x
    x = 449,676.70/842.62
  6. Step 6: Final answer
    x = 533.67

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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.