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Finding the Fourth Proportional to 855.42, 1,283.16 and 566.70

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Solution

The fourth proportional to 855.42, 1,283.16 and 566.70 is: 850.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.42 : 1,283.16 = 566.70 : x
  2. Step 2: Convert to fraction form
    855.42/1,283.16 = 566.70/x
  3. Step 3: Cross multiply
    855.42x = 1,283.16 × 566.70
  4. Step 4: Simplify right side
    855.42x = 727,166.77
  5. Step 5: Solve for x
    x = 727,166.77/855.42
  6. Step 6: Final answer
    x = 850.07

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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.