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Finding the Fourth Proportional to 816.63, 1,222.52 and 491.01

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Solution

The fourth proportional to 816.63, 1,222.52 and 491.01 is: 735.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.63 : 1,222.52 = 491.01 : x
  2. Step 2: Convert to fraction form
    816.63/1,222.52 = 491.01/x
  3. Step 3: Cross multiply
    816.63x = 1,222.52 × 491.01
  4. Step 4: Simplify right side
    816.63x = 600,267.09
  5. Step 5: Solve for x
    x = 600,267.09/816.63
  6. Step 6: Final answer
    x = 735.05

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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.