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Finding the Fourth Proportional to 798.98, 1,102.75 and 467.69

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Solution

The fourth proportional to 798.98, 1,102.75 and 467.69 is: 645.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.98 : 1,102.75 = 467.69 : x
  2. Step 2: Convert to fraction form
    798.98/1,102.75 = 467.69/x
  3. Step 3: Cross multiply
    798.98x = 1,102.75 × 467.69
  4. Step 4: Simplify right side
    798.98x = 515,738.46
  5. Step 5: Solve for x
    x = 515,738.46/798.98
  6. Step 6: Final answer
    x = 645.50

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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.