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Finding the Fourth Proportional to 816.72, 1,223.01 and 596.45

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Solution

The fourth proportional to 816.72, 1,223.01 and 596.45 is: 893.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.72 : 1,223.01 = 596.45 : x
  2. Step 2: Convert to fraction form
    816.72/1,223.01 = 596.45/x
  3. Step 3: Cross multiply
    816.72x = 1,223.01 × 596.45
  4. Step 4: Simplify right side
    816.72x = 729,458.20
  5. Step 5: Solve for x
    x = 729,458.20/816.72
  6. Step 6: Final answer
    x = 893.16

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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.