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Finding the Fourth Proportional to 690.81, 1,036.62 and 344.13

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Solution

The fourth proportional to 690.81, 1,036.62 and 344.13 is: 516.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.81 : 1,036.62 = 344.13 : x
  2. Step 2: Convert to fraction form
    690.81/1,036.62 = 344.13/x
  3. Step 3: Cross multiply
    690.81x = 1,036.62 × 344.13
  4. Step 4: Simplify right side
    690.81x = 356,732.04
  5. Step 5: Solve for x
    x = 356,732.04/690.81
  6. Step 6: Final answer
    x = 516.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.