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Finding the Fourth Proportional to 855.55, 1,283.34 and 564.92

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Solution

The fourth proportional to 855.55, 1,283.34 and 564.92 is: 847.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.55 : 1,283.34 = 564.92 : x
  2. Step 2: Convert to fraction form
    855.55/1,283.34 = 564.92/x
  3. Step 3: Cross multiply
    855.55x = 1,283.34 × 564.92
  4. Step 4: Simplify right side
    855.55x = 724,984.43
  5. Step 5: Solve for x
    x = 724,984.43/855.55
  6. Step 6: Final answer
    x = 847.39

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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.