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Finding the Fourth Proportional to 1,216.41, 1,823.61 and 435.96

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Solution

The fourth proportional to 1,216.41, 1,823.61 and 435.96 is: 653.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.41 : 1,823.61 = 435.96 : x
  2. Step 2: Convert to fraction form
    1,216.41/1,823.61 = 435.96/x
  3. Step 3: Cross multiply
    1,216.41x = 1,823.61 × 435.96
  4. Step 4: Simplify right side
    1,216.41x = 795,021.02
  5. Step 5: Solve for x
    x = 795,021.02/1,216.41
  6. Step 6: Final answer
    x = 653.58

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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.