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Finding the Fourth Proportional to 855.93, 1,283.89 and 206.66

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Solution

The fourth proportional to 855.93, 1,283.89 and 206.66 is: 309.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.93 : 1,283.89 = 206.66 : x
  2. Step 2: Convert to fraction form
    855.93/1,283.89 = 206.66/x
  3. Step 3: Cross multiply
    855.93x = 1,283.89 × 206.66
  4. Step 4: Simplify right side
    855.93x = 265,328.71
  5. Step 5: Solve for x
    x = 265,328.71/855.93
  6. Step 6: Final answer
    x = 309.99

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Why These Related Problems?

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