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Finding the Fourth Proportional to 1,484.59, 2,227.16 and 662.86

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Solution

The fourth proportional to 1,484.59, 2,227.16 and 662.86 is: 994.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.59 : 2,227.16 = 662.86 : x
  2. Step 2: Convert to fraction form
    1,484.59/2,227.16 = 662.86/x
  3. Step 3: Cross multiply
    1,484.59x = 2,227.16 × 662.86
  4. Step 4: Simplify right side
    1,484.59x = 1,476,295.28
  5. Step 5: Solve for x
    x = 1,476,295.28/1,484.59
  6. Step 6: Final answer
    x = 994.41

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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.