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Finding the Fourth Proportional to 1,433.57, 2,150.67 and 459.67

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Solution

The fourth proportional to 1,433.57, 2,150.67 and 459.67 is: 689.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.57 : 2,150.67 = 459.67 : x
  2. Step 2: Convert to fraction form
    1,433.57/2,150.67 = 459.67/x
  3. Step 3: Cross multiply
    1,433.57x = 2,150.67 × 459.67
  4. Step 4: Simplify right side
    1,433.57x = 988,585.43
  5. Step 5: Solve for x
    x = 988,585.43/1,433.57
  6. Step 6: Final answer
    x = 689.60

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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.