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Finding the Fourth Proportional to 859.48, 1,285.38 and 511.84

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Solution

The fourth proportional to 859.48, 1,285.38 and 511.84 is: 765.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.48 : 1,285.38 = 511.84 : x
  2. Step 2: Convert to fraction form
    859.48/1,285.38 = 511.84/x
  3. Step 3: Cross multiply
    859.48x = 1,285.38 × 511.84
  4. Step 4: Simplify right side
    859.48x = 657,908.90
  5. Step 5: Solve for x
    x = 657,908.90/859.48
  6. Step 6: Final answer
    x = 765.47

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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.