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Finding the Fourth Proportional to 1,231.45, 1,703.64 and 1,009.96

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Solution

The fourth proportional to 1,231.45, 1,703.64 and 1,009.96 is: 1,397.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.45 : 1,703.64 = 1,009.96 : x
  2. Step 2: Convert to fraction form
    1,231.45/1,703.64 = 1,009.96/x
  3. Step 3: Cross multiply
    1,231.45x = 1,703.64 × 1,009.96
  4. Step 4: Simplify right side
    1,231.45x = 1,720,608.25
  5. Step 5: Solve for x
    x = 1,720,608.25/1,231.45
  6. Step 6: Final answer
    x = 1,397.22

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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.