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Finding the Fourth Proportional to 1,605.17, 2,408.77 and 631.25

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Solution

The fourth proportional to 1,605.17, 2,408.77 and 631.25 is: 947.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.17 : 2,408.77 = 631.25 : x
  2. Step 2: Convert to fraction form
    1,605.17/2,408.77 = 631.25/x
  3. Step 3: Cross multiply
    1,605.17x = 2,408.77 × 631.25
  4. Step 4: Simplify right side
    1,605.17x = 1,520,536.06
  5. Step 5: Solve for x
    x = 1,520,536.06/1,605.17
  6. Step 6: Final answer
    x = 947.27

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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.