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Finding the Fourth Proportional to 785.09, 1,083.71 and 523.13

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Solution

The fourth proportional to 785.09, 1,083.71 and 523.13 is: 722.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.09 : 1,083.71 = 523.13 : x
  2. Step 2: Convert to fraction form
    785.09/1,083.71 = 523.13/x
  3. Step 3: Cross multiply
    785.09x = 1,083.71 × 523.13
  4. Step 4: Simplify right side
    785.09x = 566,917.10
  5. Step 5: Solve for x
    x = 566,917.10/785.09
  6. Step 6: Final answer
    x = 722.10

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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.