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Finding the Fourth Proportional to 855.62, 1,283.70 and 307.89

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Solution

The fourth proportional to 855.62, 1,283.70 and 307.89 is: 461.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.62 : 1,283.70 = 307.89 : x
  2. Step 2: Convert to fraction form
    855.62/1,283.70 = 307.89/x
  3. Step 3: Cross multiply
    855.62x = 1,283.70 × 307.89
  4. Step 4: Simplify right side
    855.62x = 395,238.39
  5. Step 5: Solve for x
    x = 395,238.39/855.62
  6. Step 6: Final answer
    x = 461.93

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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.