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Finding the Fourth Proportional to 1,433.29, 2,150.76 and 611.47

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Solution

The fourth proportional to 1,433.29, 2,150.76 and 611.47 is: 917.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.29 : 2,150.76 = 611.47 : x
  2. Step 2: Convert to fraction form
    1,433.29/2,150.76 = 611.47/x
  3. Step 3: Cross multiply
    1,433.29x = 2,150.76 × 611.47
  4. Step 4: Simplify right side
    1,433.29x = 1,315,125.22
  5. Step 5: Solve for x
    x = 1,315,125.22/1,433.29
  6. Step 6: Final answer
    x = 917.56

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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.