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Finding the Fourth Proportional to 1,215.60, 1,824.72 and 485.68

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Solution

The fourth proportional to 1,215.60, 1,824.72 and 485.68 is: 729.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.60 : 1,824.72 = 485.68 : x
  2. Step 2: Convert to fraction form
    1,215.60/1,824.72 = 485.68/x
  3. Step 3: Cross multiply
    1,215.60x = 1,824.72 × 485.68
  4. Step 4: Simplify right side
    1,215.60x = 886,230.01
  5. Step 5: Solve for x
    x = 886,230.01/1,215.60
  6. Step 6: Final answer
    x = 729.05

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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.