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Finding the Fourth Proportional to 709.08, 1,063.13 and 361.74

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Solution

The fourth proportional to 709.08, 1,063.13 and 361.74 is: 542.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.08 : 1,063.13 = 361.74 : x
  2. Step 2: Convert to fraction form
    709.08/1,063.13 = 361.74/x
  3. Step 3: Cross multiply
    709.08x = 1,063.13 × 361.74
  4. Step 4: Simplify right side
    709.08x = 384,576.65
  5. Step 5: Solve for x
    x = 384,576.65/709.08
  6. Step 6: Final answer
    x = 542.36

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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.