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Finding the Fourth Proportional to 1,009.53, 1,393.74 and 861.89

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Solution

The fourth proportional to 1,009.53, 1,393.74 and 861.89 is: 1,189.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.53 : 1,393.74 = 861.89 : x
  2. Step 2: Convert to fraction form
    1,009.53/1,393.74 = 861.89/x
  3. Step 3: Cross multiply
    1,009.53x = 1,393.74 × 861.89
  4. Step 4: Simplify right side
    1,009.53x = 1,201,243.60
  5. Step 5: Solve for x
    x = 1,201,243.60/1,009.53
  6. Step 6: Final answer
    x = 1,189.90

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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.