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Finding the Fourth Proportional to 1,409.68, 1,945.52 and 812.31

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Solution

The fourth proportional to 1,409.68, 1,945.52 and 812.31 is: 1,121.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.68 : 1,945.52 = 812.31 : x
  2. Step 2: Convert to fraction form
    1,409.68/1,945.52 = 812.31/x
  3. Step 3: Cross multiply
    1,409.68x = 1,945.52 × 812.31
  4. Step 4: Simplify right side
    1,409.68x = 1,580,365.35
  5. Step 5: Solve for x
    x = 1,580,365.35/1,409.68
  6. Step 6: Final answer
    x = 1,121.08

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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.