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Finding the Fourth Proportional to 1,260.25, 1,890.71 and 438.56

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Solution

The fourth proportional to 1,260.25, 1,890.71 and 438.56 is: 657.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.25 : 1,890.71 = 438.56 : x
  2. Step 2: Convert to fraction form
    1,260.25/1,890.71 = 438.56/x
  3. Step 3: Cross multiply
    1,260.25x = 1,890.71 × 438.56
  4. Step 4: Simplify right side
    1,260.25x = 829,186.87
  5. Step 5: Solve for x
    x = 829,186.87/1,260.25
  6. Step 6: Final answer
    x = 657.96

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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.