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Finding the Fourth Proportional to 1,382.46, 1,907.76 and 909.78

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Solution

The fourth proportional to 1,382.46, 1,907.76 and 909.78 is: 1,255.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.46 : 1,907.76 = 909.78 : x
  2. Step 2: Convert to fraction form
    1,382.46/1,907.76 = 909.78/x
  3. Step 3: Cross multiply
    1,382.46x = 1,907.76 × 909.78
  4. Step 4: Simplify right side
    1,382.46x = 1,735,641.89
  5. Step 5: Solve for x
    x = 1,735,641.89/1,382.46
  6. Step 6: Final answer
    x = 1,255.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.