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Finding the Fourth Proportional to 1,433.16, 2,150.42 and 509.42

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Solution

The fourth proportional to 1,433.16, 2,150.42 and 509.42 is: 764.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.16 : 2,150.42 = 509.42 : x
  2. Step 2: Convert to fraction form
    1,433.16/2,150.42 = 509.42/x
  3. Step 3: Cross multiply
    1,433.16x = 2,150.42 × 509.42
  4. Step 4: Simplify right side
    1,433.16x = 1,095,466.96
  5. Step 5: Solve for x
    x = 1,095,466.96/1,433.16
  6. Step 6: Final answer
    x = 764.37

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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.