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Finding the Fourth Proportional to 1,403.84, 1,937.16 and 806.27

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Solution

The fourth proportional to 1,403.84, 1,937.16 and 806.27 is: 1,112.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.84 : 1,937.16 = 806.27 : x
  2. Step 2: Convert to fraction form
    1,403.84/1,937.16 = 806.27/x
  3. Step 3: Cross multiply
    1,403.84x = 1,937.16 × 806.27
  4. Step 4: Simplify right side
    1,403.84x = 1,561,864.31
  5. Step 5: Solve for x
    x = 1,561,864.31/1,403.84
  6. Step 6: Final answer
    x = 1,112.57

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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.