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Finding the Fourth Proportional to 858.96, 1,287.12 and 675.60

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Solution

The fourth proportional to 858.96, 1,287.12 and 675.60 is: 1,012.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.96 : 1,287.12 = 675.60 : x
  2. Step 2: Convert to fraction form
    858.96/1,287.12 = 675.60/x
  3. Step 3: Cross multiply
    858.96x = 1,287.12 × 675.60
  4. Step 4: Simplify right side
    858.96x = 869,578.27
  5. Step 5: Solve for x
    x = 869,578.27/858.96
  6. Step 6: Final answer
    x = 1,012.36

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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.