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Finding the Fourth Proportional to 1,218.57, 1,828.34 and 488.22

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Solution

The fourth proportional to 1,218.57, 1,828.34 and 488.22 is: 732.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.57 : 1,828.34 = 488.22 : x
  2. Step 2: Convert to fraction form
    1,218.57/1,828.34 = 488.22/x
  3. Step 3: Cross multiply
    1,218.57x = 1,828.34 × 488.22
  4. Step 4: Simplify right side
    1,218.57x = 892,629.71
  5. Step 5: Solve for x
    x = 892,629.71/1,218.57
  6. Step 6: Final answer
    x = 732.52

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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.