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Finding the Fourth Proportional to 1,218.75, 1,829.16 and 488.82

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Solution

The fourth proportional to 1,218.75, 1,829.16 and 488.82 is: 733.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.75 : 1,829.16 = 488.82 : x
  2. Step 2: Convert to fraction form
    1,218.75/1,829.16 = 488.82/x
  3. Step 3: Cross multiply
    1,218.75x = 1,829.16 × 488.82
  4. Step 4: Simplify right side
    1,218.75x = 894,129.99
  5. Step 5: Solve for x
    x = 894,129.99/1,218.75
  6. Step 6: Final answer
    x = 733.65

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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.