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Finding the Fourth Proportional to 1,219.05, 1,829.09 and 488.45

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Solution

The fourth proportional to 1,219.05, 1,829.09 and 488.45 is: 732.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.05 : 1,829.09 = 488.45 : x
  2. Step 2: Convert to fraction form
    1,219.05/1,829.09 = 488.45/x
  3. Step 3: Cross multiply
    1,219.05x = 1,829.09 × 488.45
  4. Step 4: Simplify right side
    1,219.05x = 893,407.42
  5. Step 5: Solve for x
    x = 893,407.42/1,219.05
  6. Step 6: Final answer
    x = 732.87

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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.