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Finding the Fourth Proportional to 1,228.56, 1,842.57 and 362.67

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Solution

The fourth proportional to 1,228.56, 1,842.57 and 362.67 is: 543.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.56 : 1,842.57 = 362.67 : x
  2. Step 2: Convert to fraction form
    1,228.56/1,842.57 = 362.67/x
  3. Step 3: Cross multiply
    1,228.56x = 1,842.57 × 362.67
  4. Step 4: Simplify right side
    1,228.56x = 668,244.86
  5. Step 5: Solve for x
    x = 668,244.86/1,228.56
  6. Step 6: Final answer
    x = 543.93

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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.