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Finding the Fourth Proportional to 1,219.08, 1,829.02 and 488.44

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Solution

The fourth proportional to 1,219.08, 1,829.02 and 488.44 is: 732.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.08 : 1,829.02 = 488.44 : x
  2. Step 2: Convert to fraction form
    1,219.08/1,829.02 = 488.44/x
  3. Step 3: Cross multiply
    1,219.08x = 1,829.02 × 488.44
  4. Step 4: Simplify right side
    1,219.08x = 893,366.53
  5. Step 5: Solve for x
    x = 893,366.53/1,219.08
  6. Step 6: Final answer
    x = 732.82

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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.