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Finding the Fourth Proportional to 847.12, 1,270.84 and 360.16

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Solution

The fourth proportional to 847.12, 1,270.84 and 360.16 is: 540.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.12 : 1,270.84 = 360.16 : x
  2. Step 2: Convert to fraction form
    847.12/1,270.84 = 360.16/x
  3. Step 3: Cross multiply
    847.12x = 1,270.84 × 360.16
  4. Step 4: Simplify right side
    847.12x = 457,705.73
  5. Step 5: Solve for x
    x = 457,705.73/847.12
  6. Step 6: Final answer
    x = 540.31

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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.