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Finding the Fourth Proportional to 1,218.37, 1,828.89 and 488.46

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Solution

The fourth proportional to 1,218.37, 1,828.89 and 488.46 is: 733.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.37 : 1,828.89 = 488.46 : x
  2. Step 2: Convert to fraction form
    1,218.37/1,828.89 = 488.46/x
  3. Step 3: Cross multiply
    1,218.37x = 1,828.89 × 488.46
  4. Step 4: Simplify right side
    1,218.37x = 893,339.61
  5. Step 5: Solve for x
    x = 893,339.61/1,218.37
  6. Step 6: Final answer
    x = 733.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.