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Finding the Fourth Proportional to 1,382.57, 1,907.93 and 753.09

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Solution

The fourth proportional to 1,382.57, 1,907.93 and 753.09 is: 1,039.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.57 : 1,907.93 = 753.09 : x
  2. Step 2: Convert to fraction form
    1,382.57/1,907.93 = 753.09/x
  3. Step 3: Cross multiply
    1,382.57x = 1,907.93 × 753.09
  4. Step 4: Simplify right side
    1,382.57x = 1,436,852.21
  5. Step 5: Solve for x
    x = 1,436,852.21/1,382.57
  6. Step 6: Final answer
    x = 1,039.26

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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.