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Finding the Fourth Proportional to 1,218.57, 1,828.46 and 488.65

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Solution

The fourth proportional to 1,218.57, 1,828.46 and 488.65 is: 733.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.57 : 1,828.46 = 488.65 : x
  2. Step 2: Convert to fraction form
    1,218.57/1,828.46 = 488.65/x
  3. Step 3: Cross multiply
    1,218.57x = 1,828.46 × 488.65
  4. Step 4: Simplify right side
    1,218.57x = 893,476.98
  5. Step 5: Solve for x
    x = 893,476.98/1,218.57
  6. Step 6: Final answer
    x = 733.22

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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.