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Finding the Fourth Proportional to 860.23, 1,185.87 and 564.98

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Solution

The fourth proportional to 860.23, 1,185.87 and 564.98 is: 778.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.23 : 1,185.87 = 564.98 : x
  2. Step 2: Convert to fraction form
    860.23/1,185.87 = 564.98/x
  3. Step 3: Cross multiply
    860.23x = 1,185.87 × 564.98
  4. Step 4: Simplify right side
    860.23x = 669,992.83
  5. Step 5: Solve for x
    x = 669,992.83/860.23
  6. Step 6: Final answer
    x = 778.85

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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.