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Finding the Fourth Proportional to 690.80, 1,036.34 and 344.32

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Solution

The fourth proportional to 690.80, 1,036.34 and 344.32 is: 516.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.80 : 1,036.34 = 344.32 : x
  2. Step 2: Convert to fraction form
    690.80/1,036.34 = 344.32/x
  3. Step 3: Cross multiply
    690.80x = 1,036.34 × 344.32
  4. Step 4: Simplify right side
    690.80x = 356,832.59
  5. Step 5: Solve for x
    x = 356,832.59/690.80
  6. Step 6: Final answer
    x = 516.55

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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.