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Finding the Fourth Proportional to 906.74, 1,359.08 and 418.76

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Solution

The fourth proportional to 906.74, 1,359.08 and 418.76 is: 627.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.74 : 1,359.08 = 418.76 : x
  2. Step 2: Convert to fraction form
    906.74/1,359.08 = 418.76/x
  3. Step 3: Cross multiply
    906.74x = 1,359.08 × 418.76
  4. Step 4: Simplify right side
    906.74x = 569,119.45
  5. Step 5: Solve for x
    x = 569,119.45/906.74
  6. Step 6: Final answer
    x = 627.66

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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.