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Finding the Fourth Proportional to 785.19, 1,083.92 and 565.23

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Solution

The fourth proportional to 785.19, 1,083.92 and 565.23 is: 780.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.19 : 1,083.92 = 565.23 : x
  2. Step 2: Convert to fraction form
    785.19/1,083.92 = 565.23/x
  3. Step 3: Cross multiply
    785.19x = 1,083.92 × 565.23
  4. Step 4: Simplify right side
    785.19x = 612,661.28
  5. Step 5: Solve for x
    x = 612,661.28/785.19
  6. Step 6: Final answer
    x = 780.27

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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.