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Finding the Fourth Proportional to 859.34, 1,289.55 and 346.34

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Solution

The fourth proportional to 859.34, 1,289.55 and 346.34 is: 519.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.34 : 1,289.55 = 346.34 : x
  2. Step 2: Convert to fraction form
    859.34/1,289.55 = 346.34/x
  3. Step 3: Cross multiply
    859.34x = 1,289.55 × 346.34
  4. Step 4: Simplify right side
    859.34x = 446,622.75
  5. Step 5: Solve for x
    x = 446,622.75/859.34
  6. Step 6: Final answer
    x = 519.73

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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.