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Finding the Fourth Proportional to 943.06, 1,414.65 and 284.90

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Solution

The fourth proportional to 943.06, 1,414.65 and 284.90 is: 427.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.06 : 1,414.65 = 284.90 : x
  2. Step 2: Convert to fraction form
    943.06/1,414.65 = 284.90/x
  3. Step 3: Cross multiply
    943.06x = 1,414.65 × 284.90
  4. Step 4: Simplify right side
    943.06x = 403,034.13
  5. Step 5: Solve for x
    x = 403,034.13/943.06
  6. Step 6: Final answer
    x = 427.37

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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.