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Finding the Fourth Proportional to 859.25, 1,289.06 and 346.25

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Solution

The fourth proportional to 859.25, 1,289.06 and 346.25 is: 519.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.25 : 1,289.06 = 346.25 : x
  2. Step 2: Convert to fraction form
    859.25/1,289.06 = 346.25/x
  3. Step 3: Cross multiply
    859.25x = 1,289.06 × 346.25
  4. Step 4: Simplify right side
    859.25x = 446,337.03
  5. Step 5: Solve for x
    x = 446,337.03/859.25
  6. Step 6: Final answer
    x = 519.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.