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Finding the Fourth Proportional to 816.76, 1,224.19 and 524.42

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Solution

The fourth proportional to 816.76, 1,224.19 and 524.42 is: 786.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.76 : 1,224.19 = 524.42 : x
  2. Step 2: Convert to fraction form
    816.76/1,224.19 = 524.42/x
  3. Step 3: Cross multiply
    816.76x = 1,224.19 × 524.42
  4. Step 4: Simplify right side
    816.76x = 641,980.98
  5. Step 5: Solve for x
    x = 641,980.98/816.76
  6. Step 6: Final answer
    x = 786.01

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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.