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Finding the Fourth Proportional to 1,295.75, 1,944.00 and 418.38

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Solution

The fourth proportional to 1,295.75, 1,944.00 and 418.38 is: 627.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.75 : 1,944.00 = 418.38 : x
  2. Step 2: Convert to fraction form
    1,295.75/1,944.00 = 418.38/x
  3. Step 3: Cross multiply
    1,295.75x = 1,944.00 × 418.38
  4. Step 4: Simplify right side
    1,295.75x = 813,328.63
  5. Step 5: Solve for x
    x = 813,328.63/1,295.75
  6. Step 6: Final answer
    x = 627.69

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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.