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Finding the Fourth Proportional to 798.26, 1,101.33 and 466.50

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Solution

The fourth proportional to 798.26, 1,101.33 and 466.50 is: 643.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.26 : 1,101.33 = 466.50 : x
  2. Step 2: Convert to fraction form
    798.26/1,101.33 = 466.50/x
  3. Step 3: Cross multiply
    798.26x = 1,101.33 × 466.50
  4. Step 4: Simplify right side
    798.26x = 513,770.45
  5. Step 5: Solve for x
    x = 513,770.45/798.26
  6. Step 6: Final answer
    x = 643.61

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