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Finding the Fourth Proportional to 1,403.13, 1,936.35 and 805.72

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Solution

The fourth proportional to 1,403.13, 1,936.35 and 805.72 is: 1,111.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.13 : 1,936.35 = 805.72 : x
  2. Step 2: Convert to fraction form
    1,403.13/1,936.35 = 805.72/x
  3. Step 3: Cross multiply
    1,403.13x = 1,936.35 × 805.72
  4. Step 4: Simplify right side
    1,403.13x = 1,560,157.89
  5. Step 5: Solve for x
    x = 1,560,157.89/1,403.13
  6. Step 6: Final answer
    x = 1,111.91

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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.