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Finding the Fourth Proportional to 1,605.14, 2,408.32 and 631.92

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Solution

The fourth proportional to 1,605.14, 2,408.32 and 631.92 is: 948.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.14 : 2,408.32 = 631.92 : x
  2. Step 2: Convert to fraction form
    1,605.14/2,408.32 = 631.92/x
  3. Step 3: Cross multiply
    1,605.14x = 2,408.32 × 631.92
  4. Step 4: Simplify right side
    1,605.14x = 1,521,865.57
  5. Step 5: Solve for x
    x = 1,521,865.57/1,605.14
  6. Step 6: Final answer
    x = 948.12

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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.