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Finding the Fourth Proportional to 1,605.63, 2,408.46 and 631.83

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Solution

The fourth proportional to 1,605.63, 2,408.46 and 631.83 is: 947.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.63 : 2,408.46 = 631.83 : x
  2. Step 2: Convert to fraction form
    1,605.63/2,408.46 = 631.83/x
  3. Step 3: Cross multiply
    1,605.63x = 2,408.46 × 631.83
  4. Step 4: Simplify right side
    1,605.63x = 1,521,737.28
  5. Step 5: Solve for x
    x = 1,521,737.28/1,605.63
  6. Step 6: Final answer
    x = 947.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.