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Finding the Fourth Proportional to 859.98, 1,187.36 and 650.60

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Solution

The fourth proportional to 859.98, 1,187.36 and 650.60 is: 898.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.98 : 1,187.36 = 650.60 : x
  2. Step 2: Convert to fraction form
    859.98/1,187.36 = 650.60/x
  3. Step 3: Cross multiply
    859.98x = 1,187.36 × 650.60
  4. Step 4: Simplify right side
    859.98x = 772,487.23
  5. Step 5: Solve for x
    x = 772,487.23/859.98
  6. Step 6: Final answer
    x = 898.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.