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Finding the Fourth Proportional to 700.82, 1,050.46 and 289.73

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Solution

The fourth proportional to 700.82, 1,050.46 and 289.73 is: 434.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.82 : 1,050.46 = 289.73 : x
  2. Step 2: Convert to fraction form
    700.82/1,050.46 = 289.73/x
  3. Step 3: Cross multiply
    700.82x = 1,050.46 × 289.73
  4. Step 4: Simplify right side
    700.82x = 304,351.68
  5. Step 5: Solve for x
    x = 304,351.68/700.82
  6. Step 6: Final answer
    x = 434.28

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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.