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Finding the Fourth Proportional to 1,625.52, 2,438.66 and 471.24

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Solution

The fourth proportional to 1,625.52, 2,438.66 and 471.24 is: 706.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,625.52 : 2,438.66 = 471.24 : x
  2. Step 2: Convert to fraction form
    1,625.52/2,438.66 = 471.24/x
  3. Step 3: Cross multiply
    1,625.52x = 2,438.66 × 471.24
  4. Step 4: Simplify right side
    1,625.52x = 1,149,194.14
  5. Step 5: Solve for x
    x = 1,149,194.14/1,625.52
  6. Step 6: Final answer
    x = 706.97

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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.