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Finding the Fourth Proportional to 1,192.79, 1,789.43 and 499.37

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Solution

The fourth proportional to 1,192.79, 1,789.43 and 499.37 is: 749.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.79 : 1,789.43 = 499.37 : x
  2. Step 2: Convert to fraction form
    1,192.79/1,789.43 = 499.37/x
  3. Step 3: Cross multiply
    1,192.79x = 1,789.43 × 499.37
  4. Step 4: Simplify right side
    1,192.79x = 893,576.22
  5. Step 5: Solve for x
    x = 893,576.22/1,192.79
  6. Step 6: Final answer
    x = 749.15

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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.