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Finding the Fourth Proportional to 1,406.33, 1,940.75 and 808.74

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Solution

The fourth proportional to 1,406.33, 1,940.75 and 808.74 is: 1,116.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.33 : 1,940.75 = 808.74 : x
  2. Step 2: Convert to fraction form
    1,406.33/1,940.75 = 808.74/x
  3. Step 3: Cross multiply
    1,406.33x = 1,940.75 × 808.74
  4. Step 4: Simplify right side
    1,406.33x = 1,569,558.11
  5. Step 5: Solve for x
    x = 1,569,558.11/1,406.33
  6. Step 6: Final answer
    x = 1,116.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.