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Finding the Fourth Proportional to 1,434.29, 2,151.04 and 509.73

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Solution

The fourth proportional to 1,434.29, 2,151.04 and 509.73 is: 764.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.29 : 2,151.04 = 509.73 : x
  2. Step 2: Convert to fraction form
    1,434.29/2,151.04 = 509.73/x
  3. Step 3: Cross multiply
    1,434.29x = 2,151.04 × 509.73
  4. Step 4: Simplify right side
    1,434.29x = 1,096,449.62
  5. Step 5: Solve for x
    x = 1,096,449.62/1,434.29
  6. Step 6: Final answer
    x = 764.45

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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.