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Finding the Fourth Proportional to 1,466.24, 2,199.12 and 440

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Solution

The fourth proportional to 1,466.24, 2,199.12 and 440 is: 659.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.24 : 2,199.12 = 440 : x
  2. Step 2: Convert to fraction form
    1,466.24/2,199.12 = 440/x
  3. Step 3: Cross multiply
    1,466.24x = 2,199.12 × 440
  4. Step 4: Simplify right side
    1,466.24x = 967,612.80
  5. Step 5: Solve for x
    x = 967,612.80/1,466.24
  6. Step 6: Final answer
    x = 659.93

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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.