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Finding the Fourth Proportional to 1,418.68, 2,128 and 444.64

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Solution

The fourth proportional to 1,418.68, 2,128 and 444.64 is: 666.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.68 : 2,128 = 444.64 : x
  2. Step 2: Convert to fraction form
    1,418.68/2,128 = 444.64/x
  3. Step 3: Cross multiply
    1,418.68x = 2,128 × 444.64
  4. Step 4: Simplify right side
    1,418.68x = 946,193.92
  5. Step 5: Solve for x
    x = 946,193.92/1,418.68
  6. Step 6: Final answer
    x = 666.95

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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.