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Finding the Fourth Proportional to 1,382.78, 1,907.46 and 910.75

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Solution

The fourth proportional to 1,382.78, 1,907.46 and 910.75 is: 1,256.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.78 : 1,907.46 = 910.75 : x
  2. Step 2: Convert to fraction form
    1,382.78/1,907.46 = 910.75/x
  3. Step 3: Cross multiply
    1,382.78x = 1,907.46 × 910.75
  4. Step 4: Simplify right side
    1,382.78x = 1,737,219.20
  5. Step 5: Solve for x
    x = 1,737,219.20/1,382.78
  6. Step 6: Final answer
    x = 1,256.32

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Why These Related Problems?

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