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Finding the Fourth Proportional to 1,260.46, 1,890.95 and 438.77

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Solution

The fourth proportional to 1,260.46, 1,890.95 and 438.77 is: 658.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.46 : 1,890.95 = 438.77 : x
  2. Step 2: Convert to fraction form
    1,260.46/1,890.95 = 438.77/x
  3. Step 3: Cross multiply
    1,260.46x = 1,890.95 × 438.77
  4. Step 4: Simplify right side
    1,260.46x = 829,684.03
  5. Step 5: Solve for x
    x = 829,684.03/1,260.46
  6. Step 6: Final answer
    x = 658.24

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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.