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Finding the Fourth Proportional to 1,218.96, 1,828.62 and 488.43

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Solution

The fourth proportional to 1,218.96, 1,828.62 and 488.43 is: 732.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.96 : 1,828.62 = 488.43 : x
  2. Step 2: Convert to fraction form
    1,218.96/1,828.62 = 488.43/x
  3. Step 3: Cross multiply
    1,218.96x = 1,828.62 × 488.43
  4. Step 4: Simplify right side
    1,218.96x = 893,152.87
  5. Step 5: Solve for x
    x = 893,152.87/1,218.96
  6. Step 6: Final answer
    x = 732.72

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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.