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Finding the Fourth Proportional to 798.94, 1,102.87 and 488.54

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Solution

The fourth proportional to 798.94, 1,102.87 and 488.54 is: 674.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.94 : 1,102.87 = 488.54 : x
  2. Step 2: Convert to fraction form
    798.94/1,102.87 = 488.54/x
  3. Step 3: Cross multiply
    798.94x = 1,102.87 × 488.54
  4. Step 4: Simplify right side
    798.94x = 538,796.11
  5. Step 5: Solve for x
    x = 538,796.11/798.94
  6. Step 6: Final answer
    x = 674.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.