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Finding the Fourth Proportional to 859.10, 1,287.26 and 511.60

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Solution

The fourth proportional to 859.10, 1,287.26 and 511.60 is: 766.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.10 : 1,287.26 = 511.60 : x
  2. Step 2: Convert to fraction form
    859.10/1,287.26 = 511.60/x
  3. Step 3: Cross multiply
    859.10x = 1,287.26 × 511.60
  4. Step 4: Simplify right side
    859.10x = 658,562.22
  5. Step 5: Solve for x
    x = 658,562.22/859.10
  6. Step 6: Final answer
    x = 766.57

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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.