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Finding the Fourth Proportional to 1,403.27, 1,936.46 and 805.36

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Solution

The fourth proportional to 1,403.27, 1,936.46 and 805.36 is: 1,111.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.27 : 1,936.46 = 805.36 : x
  2. Step 2: Convert to fraction form
    1,403.27/1,936.46 = 805.36/x
  3. Step 3: Cross multiply
    1,403.27x = 1,936.46 × 805.36
  4. Step 4: Simplify right side
    1,403.27x = 1,559,543.70
  5. Step 5: Solve for x
    x = 1,559,543.70/1,403.27
  6. Step 6: Final answer
    x = 1,111.36

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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.