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Finding the Fourth Proportional to 918.27, 1,267.83 and 859.50

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Solution

The fourth proportional to 918.27, 1,267.83 and 859.50 is: 1,186.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.27 : 1,267.83 = 859.50 : x
  2. Step 2: Convert to fraction form
    918.27/1,267.83 = 859.50/x
  3. Step 3: Cross multiply
    918.27x = 1,267.83 × 859.50
  4. Step 4: Simplify right side
    918.27x = 1,089,699.89
  5. Step 5: Solve for x
    x = 1,089,699.89/918.27
  6. Step 6: Final answer
    x = 1,186.69

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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.