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Finding the Fourth Proportional to 847.76, 1,270.56 and 456.85

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Solution

The fourth proportional to 847.76, 1,270.56 and 456.85 is: 684.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.76 : 1,270.56 = 456.85 : x
  2. Step 2: Convert to fraction form
    847.76/1,270.56 = 456.85/x
  3. Step 3: Cross multiply
    847.76x = 1,270.56 × 456.85
  4. Step 4: Simplify right side
    847.76x = 580,448.98
  5. Step 5: Solve for x
    x = 580,448.98/847.76
  6. Step 6: Final answer
    x = 684.69

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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.