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Finding the Fourth Proportional to 709.69, 1,064.13 and 344.02

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Solution

The fourth proportional to 709.69, 1,064.13 and 344.02 is: 515.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.69 : 1,064.13 = 344.02 : x
  2. Step 2: Convert to fraction form
    709.69/1,064.13 = 344.02/x
  3. Step 3: Cross multiply
    709.69x = 1,064.13 × 344.02
  4. Step 4: Simplify right side
    709.69x = 366,082.00
  5. Step 5: Solve for x
    x = 366,082.00/709.69
  6. Step 6: Final answer
    x = 515.83

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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.