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Finding the Fourth Proportional to 785.88, 1,085.07 and 564.90

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Solution

The fourth proportional to 785.88, 1,085.07 and 564.90 is: 779.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.88 : 1,085.07 = 564.90 : x
  2. Step 2: Convert to fraction form
    785.88/1,085.07 = 564.90/x
  3. Step 3: Cross multiply
    785.88x = 1,085.07 × 564.90
  4. Step 4: Simplify right side
    785.88x = 612,955.56
  5. Step 5: Solve for x
    x = 612,955.56/785.88
  6. Step 6: Final answer
    x = 779.96

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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.