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Finding the Fourth Proportional to 1,604.61, 2,408.27 and 631.39

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Solution

The fourth proportional to 1,604.61, 2,408.27 and 631.39 is: 947.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.61 : 2,408.27 = 631.39 : x
  2. Step 2: Convert to fraction form
    1,604.61/2,408.27 = 631.39/x
  3. Step 3: Cross multiply
    1,604.61x = 2,408.27 × 631.39
  4. Step 4: Simplify right side
    1,604.61x = 1,520,557.60
  5. Step 5: Solve for x
    x = 1,520,557.60/1,604.61
  6. Step 6: Final answer
    x = 947.62

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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.