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Finding the Fourth Proportional to 1,434.78, 2,150.82 and 509.76

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Solution

The fourth proportional to 1,434.78, 2,150.82 and 509.76 is: 764.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.78 : 2,150.82 = 509.76 : x
  2. Step 2: Convert to fraction form
    1,434.78/2,150.82 = 509.76/x
  3. Step 3: Cross multiply
    1,434.78x = 2,150.82 × 509.76
  4. Step 4: Simplify right side
    1,434.78x = 1,096,402.00
  5. Step 5: Solve for x
    x = 1,096,402.00/1,434.78
  6. Step 6: Final answer
    x = 764.16

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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.