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Finding the Fourth Proportional to 1,313.07, 1,968.47 and 582.09

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Solution

The fourth proportional to 1,313.07, 1,968.47 and 582.09 is: 872.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.07 : 1,968.47 = 582.09 : x
  2. Step 2: Convert to fraction form
    1,313.07/1,968.47 = 582.09/x
  3. Step 3: Cross multiply
    1,313.07x = 1,968.47 × 582.09
  4. Step 4: Simplify right side
    1,313.07x = 1,145,826.70
  5. Step 5: Solve for x
    x = 1,145,826.70/1,313.07
  6. Step 6: Final answer
    x = 872.63

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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.