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Finding the Fourth Proportional to 1,433.76, 2,150.17 and 459.63

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Solution

The fourth proportional to 1,433.76, 2,150.17 and 459.63 is: 689.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.76 : 2,150.17 = 459.63 : x
  2. Step 2: Convert to fraction form
    1,433.76/2,150.17 = 459.63/x
  3. Step 3: Cross multiply
    1,433.76x = 2,150.17 × 459.63
  4. Step 4: Simplify right side
    1,433.76x = 988,282.64
  5. Step 5: Solve for x
    x = 988,282.64/1,433.76
  6. Step 6: Final answer
    x = 689.29

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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.