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Finding the Fourth Proportional to 858.06, 1,284.39 and 596.75

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Solution

The fourth proportional to 858.06, 1,284.39 and 596.75 is: 893.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.06 : 1,284.39 = 596.75 : x
  2. Step 2: Convert to fraction form
    858.06/1,284.39 = 596.75/x
  3. Step 3: Cross multiply
    858.06x = 1,284.39 × 596.75
  4. Step 4: Simplify right side
    858.06x = 766,453.31
  5. Step 5: Solve for x
    x = 766,453.31/858.06
  6. Step 6: Final answer
    x = 893.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.