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Finding the Fourth Proportional to 847.44, 1,273.40 and 462.96

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Solution

The fourth proportional to 847.44, 1,273.40 and 462.96 is: 695.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.44 : 1,273.40 = 462.96 : x
  2. Step 2: Convert to fraction form
    847.44/1,273.40 = 462.96/x
  3. Step 3: Cross multiply
    847.44x = 1,273.40 × 462.96
  4. Step 4: Simplify right side
    847.44x = 589,533.26
  5. Step 5: Solve for x
    x = 589,533.26/847.44
  6. Step 6: Final answer
    x = 695.66

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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.