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Finding the Fourth Proportional to 706.10, 1,059.14 and 193.10

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Solution

The fourth proportional to 706.10, 1,059.14 and 193.10 is: 289.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.10 : 1,059.14 = 193.10 : x
  2. Step 2: Convert to fraction form
    706.10/1,059.14 = 193.10/x
  3. Step 3: Cross multiply
    706.10x = 1,059.14 × 193.10
  4. Step 4: Simplify right side
    706.10x = 204,515.12
  5. Step 5: Solve for x
    x = 204,515.12/706.10
  6. Step 6: Final answer
    x = 289.64

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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.