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Finding the Fourth Proportional to 1,358.57, 2,038.05 and 493.09

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Solution

The fourth proportional to 1,358.57, 2,038.05 and 493.09 is: 739.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.57 : 2,038.05 = 493.09 : x
  2. Step 2: Convert to fraction form
    1,358.57/2,038.05 = 493.09/x
  3. Step 3: Cross multiply
    1,358.57x = 2,038.05 × 493.09
  4. Step 4: Simplify right side
    1,358.57x = 1,004,942.07
  5. Step 5: Solve for x
    x = 1,004,942.07/1,358.57
  6. Step 6: Final answer
    x = 739.71

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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.