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Finding the Fourth Proportional to 1,216.04, 1,824.36 and 485.72

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Solution

The fourth proportional to 1,216.04, 1,824.36 and 485.72 is: 728.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.04 : 1,824.36 = 485.72 : x
  2. Step 2: Convert to fraction form
    1,216.04/1,824.36 = 485.72/x
  3. Step 3: Cross multiply
    1,216.04x = 1,824.36 × 485.72
  4. Step 4: Simplify right side
    1,216.04x = 886,128.14
  5. Step 5: Solve for x
    x = 886,128.14/1,216.04
  6. Step 6: Final answer
    x = 728.70

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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.