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Finding the Fourth Proportional to 1,165.79, 1,748.86 and 343.97

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Solution

The fourth proportional to 1,165.79, 1,748.86 and 343.97 is: 516.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.79 : 1,748.86 = 343.97 : x
  2. Step 2: Convert to fraction form
    1,165.79/1,748.86 = 343.97/x
  3. Step 3: Cross multiply
    1,165.79x = 1,748.86 × 343.97
  4. Step 4: Simplify right side
    1,165.79x = 601,545.77
  5. Step 5: Solve for x
    x = 601,545.77/1,165.79
  6. Step 6: Final answer
    x = 516.00

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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.