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Finding the Fourth Proportional to 706.81, 1,059.82 and 290.23

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Solution

The fourth proportional to 706.81, 1,059.82 and 290.23 is: 435.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.81 : 1,059.82 = 290.23 : x
  2. Step 2: Convert to fraction form
    706.81/1,059.82 = 290.23/x
  3. Step 3: Cross multiply
    706.81x = 1,059.82 × 290.23
  4. Step 4: Simplify right side
    706.81x = 307,584.81
  5. Step 5: Solve for x
    x = 307,584.81/706.81
  6. Step 6: Final answer
    x = 435.17

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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.