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Finding the Fourth Proportional to 1,406.52, 1,940.94 and 817.08

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Solution

The fourth proportional to 1,406.52, 1,940.94 and 817.08 is: 1,127.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.52 : 1,940.94 = 817.08 : x
  2. Step 2: Convert to fraction form
    1,406.52/1,940.94 = 817.08/x
  3. Step 3: Cross multiply
    1,406.52x = 1,940.94 × 817.08
  4. Step 4: Simplify right side
    1,406.52x = 1,585,903.26
  5. Step 5: Solve for x
    x = 1,585,903.26/1,406.52
  6. Step 6: Final answer
    x = 1,127.54

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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.