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Finding the Fourth Proportional to 1,073.63, 1,611.66 and 424.82

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Solution

The fourth proportional to 1,073.63, 1,611.66 and 424.82 is: 637.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.63 : 1,611.66 = 424.82 : x
  2. Step 2: Convert to fraction form
    1,073.63/1,611.66 = 424.82/x
  3. Step 3: Cross multiply
    1,073.63x = 1,611.66 × 424.82
  4. Step 4: Simplify right side
    1,073.63x = 684,665.40
  5. Step 5: Solve for x
    x = 684,665.40/1,073.63
  6. Step 6: Final answer
    x = 637.71

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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.