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Finding the Fourth Proportional to 1,604.33, 2,406.88 and 493.71

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Solution

The fourth proportional to 1,604.33, 2,406.88 and 493.71 is: 740.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.33 : 2,406.88 = 493.71 : x
  2. Step 2: Convert to fraction form
    1,604.33/2,406.88 = 493.71/x
  3. Step 3: Cross multiply
    1,604.33x = 2,406.88 × 493.71
  4. Step 4: Simplify right side
    1,604.33x = 1,188,293.62
  5. Step 5: Solve for x
    x = 1,188,293.62/1,604.33
  6. Step 6: Final answer
    x = 740.68

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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.