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Finding the Fourth Proportional to 1,484.27, 2,226.38 and 444.27

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Solution

The fourth proportional to 1,484.27, 2,226.38 and 444.27 is: 666.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.27 : 2,226.38 = 444.27 : x
  2. Step 2: Convert to fraction form
    1,484.27/2,226.38 = 444.27/x
  3. Step 3: Cross multiply
    1,484.27x = 2,226.38 × 444.27
  4. Step 4: Simplify right side
    1,484.27x = 989,111.62
  5. Step 5: Solve for x
    x = 989,111.62/1,484.27
  6. Step 6: Final answer
    x = 666.40

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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.