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Finding the Fourth Proportional to 1,484.03, 2,226.03 and 444.02

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Solution

The fourth proportional to 1,484.03, 2,226.03 and 444.02 is: 666.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.03 : 2,226.03 = 444.02 : x
  2. Step 2: Convert to fraction form
    1,484.03/2,226.03 = 444.02/x
  3. Step 3: Cross multiply
    1,484.03x = 2,226.03 × 444.02
  4. Step 4: Simplify right side
    1,484.03x = 988,401.84
  5. Step 5: Solve for x
    x = 988,401.84/1,484.03
  6. Step 6: Final answer
    x = 666.03

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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.