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Finding the Fourth Proportional to 847.45, 1,270.63 and 539.38

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Solution

The fourth proportional to 847.45, 1,270.63 and 539.38 is: 808.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.45 : 1,270.63 = 539.38 : x
  2. Step 2: Convert to fraction form
    847.45/1,270.63 = 539.38/x
  3. Step 3: Cross multiply
    847.45x = 1,270.63 × 539.38
  4. Step 4: Simplify right side
    847.45x = 685,352.41
  5. Step 5: Solve for x
    x = 685,352.41/847.45
  6. Step 6: Final answer
    x = 808.72

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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.