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Finding the Fourth Proportional to 1,165.15, 1,747.21 and 617.21

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Solution

The fourth proportional to 1,165.15, 1,747.21 and 617.21 is: 925.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.15 : 1,747.21 = 617.21 : x
  2. Step 2: Convert to fraction form
    1,165.15/1,747.21 = 617.21/x
  3. Step 3: Cross multiply
    1,165.15x = 1,747.21 × 617.21
  4. Step 4: Simplify right side
    1,165.15x = 1,078,389.74
  5. Step 5: Solve for x
    x = 1,078,389.74/1,165.15
  6. Step 6: Final answer
    x = 925.54

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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.