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Finding the Fourth Proportional to 1,433.83, 2,150.64 and 459.67

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Solution

The fourth proportional to 1,433.83, 2,150.64 and 459.67 is: 689.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.83 : 2,150.64 = 459.67 : x
  2. Step 2: Convert to fraction form
    1,433.83/2,150.64 = 459.67/x
  3. Step 3: Cross multiply
    1,433.83x = 2,150.64 × 459.67
  4. Step 4: Simplify right side
    1,433.83x = 988,584.69
  5. Step 5: Solve for x
    x = 988,584.69/1,433.83
  6. Step 6: Final answer
    x = 689.47

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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.