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Finding the Fourth Proportional to 1,456.01, 2,009.29 and 866.53

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Solution

The fourth proportional to 1,456.01, 2,009.29 and 866.53 is: 1,195.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.01 : 2,009.29 = 866.53 : x
  2. Step 2: Convert to fraction form
    1,456.01/2,009.29 = 866.53/x
  3. Step 3: Cross multiply
    1,456.01x = 2,009.29 × 866.53
  4. Step 4: Simplify right side
    1,456.01x = 1,741,100.02
  5. Step 5: Solve for x
    x = 1,741,100.02/1,456.01
  6. Step 6: Final answer
    x = 1,195.81

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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.