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Finding the Fourth Proportional to 1,073.63, 1,611.45 and 488.94

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Solution

The fourth proportional to 1,073.63, 1,611.45 and 488.94 is: 733.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.63 : 1,611.45 = 488.94 : x
  2. Step 2: Convert to fraction form
    1,073.63/1,611.45 = 488.94/x
  3. Step 3: Cross multiply
    1,073.63x = 1,611.45 × 488.94
  4. Step 4: Simplify right side
    1,073.63x = 787,902.36
  5. Step 5: Solve for x
    x = 787,902.36/1,073.63
  6. Step 6: Final answer
    x = 733.87

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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.