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Finding the Fourth Proportional to 1,165.34, 1,607.96 and 668.00

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Solution

The fourth proportional to 1,165.34, 1,607.96 and 668.00 is: 921.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.34 : 1,607.96 = 668.00 : x
  2. Step 2: Convert to fraction form
    1,165.34/1,607.96 = 668.00/x
  3. Step 3: Cross multiply
    1,165.34x = 1,607.96 × 668.00
  4. Step 4: Simplify right side
    1,165.34x = 1,074,105.90
  5. Step 5: Solve for x
    x = 1,074,105.90/1,165.34
  6. Step 6: Final answer
    x = 921.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.