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Finding the Fourth Proportional to 858.78, 1,185.71 and 564.56

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Solution

The fourth proportional to 858.78, 1,185.71 and 564.56 is: 779.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.78 : 1,185.71 = 564.56 : x
  2. Step 2: Convert to fraction form
    858.78/1,185.71 = 564.56/x
  3. Step 3: Cross multiply
    858.78x = 1,185.71 × 564.56
  4. Step 4: Simplify right side
    858.78x = 669,395.69
  5. Step 5: Solve for x
    x = 669,395.69/858.78
  6. Step 6: Final answer
    x = 779.47

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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.