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Finding the Fourth Proportional to 855.38, 1,283.07 and 567.02

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Solution

The fourth proportional to 855.38, 1,283.07 and 567.02 is: 850.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.38 : 1,283.07 = 567.02 : x
  2. Step 2: Convert to fraction form
    855.38/1,283.07 = 567.02/x
  3. Step 3: Cross multiply
    855.38x = 1,283.07 × 567.02
  4. Step 4: Simplify right side
    855.38x = 727,526.35
  5. Step 5: Solve for x
    x = 727,526.35/855.38
  6. Step 6: Final answer
    x = 850.53

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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.