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Finding the Fourth Proportional to 816.94, 1,225.20 and 296.86

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Solution

The fourth proportional to 816.94, 1,225.20 and 296.86 is: 445.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.94 : 1,225.20 = 296.86 : x
  2. Step 2: Convert to fraction form
    816.94/1,225.20 = 296.86/x
  3. Step 3: Cross multiply
    816.94x = 1,225.20 × 296.86
  4. Step 4: Simplify right side
    816.94x = 363,712.87
  5. Step 5: Solve for x
    x = 363,712.87/816.94
  6. Step 6: Final answer
    x = 445.21

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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.