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Finding the Fourth Proportional to 801.63, 1,204.20 and 528.21

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Solution

The fourth proportional to 801.63, 1,204.20 and 528.21 is: 793.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.63 : 1,204.20 = 528.21 : x
  2. Step 2: Convert to fraction form
    801.63/1,204.20 = 528.21/x
  3. Step 3: Cross multiply
    801.63x = 1,204.20 × 528.21
  4. Step 4: Simplify right side
    801.63x = 636,070.48
  5. Step 5: Solve for x
    x = 636,070.48/801.63
  6. Step 6: Final answer
    x = 793.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.