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Finding the Fourth Proportional to 1,418.52, 2,127.65 and 444.59

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Solution

The fourth proportional to 1,418.52, 2,127.65 and 444.59 is: 666.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.52 : 2,127.65 = 444.59 : x
  2. Step 2: Convert to fraction form
    1,418.52/2,127.65 = 444.59/x
  3. Step 3: Cross multiply
    1,418.52x = 2,127.65 × 444.59
  4. Step 4: Simplify right side
    1,418.52x = 945,919.05
  5. Step 5: Solve for x
    x = 945,919.05/1,418.52
  6. Step 6: Final answer
    x = 666.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.