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Finding the Fourth Proportional to 785.58, 1,084.22 and 565.26

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Solution

The fourth proportional to 785.58, 1,084.22 and 565.26 is: 780.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.58 : 1,084.22 = 565.26 : x
  2. Step 2: Convert to fraction form
    785.58/1,084.22 = 565.26/x
  3. Step 3: Cross multiply
    785.58x = 1,084.22 × 565.26
  4. Step 4: Simplify right side
    785.58x = 612,866.20
  5. Step 5: Solve for x
    x = 612,866.20/785.58
  6. Step 6: Final answer
    x = 780.14

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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.