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Finding the Fourth Proportional to 1,260.46, 1,890.54 and 438.67

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Solution

The fourth proportional to 1,260.46, 1,890.54 and 438.67 is: 657.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.46 : 1,890.54 = 438.67 : x
  2. Step 2: Convert to fraction form
    1,260.46/1,890.54 = 438.67/x
  3. Step 3: Cross multiply
    1,260.46x = 1,890.54 × 438.67
  4. Step 4: Simplify right side
    1,260.46x = 829,314.91
  5. Step 5: Solve for x
    x = 829,314.91/1,260.46
  6. Step 6: Final answer
    x = 657.95

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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.