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Finding the Fourth Proportional to 1,382.58, 2,075.01 and 725.19

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Solution

The fourth proportional to 1,382.58, 2,075.01 and 725.19 is: 1,088.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.58 : 2,075.01 = 725.19 : x
  2. Step 2: Convert to fraction form
    1,382.58/2,075.01 = 725.19/x
  3. Step 3: Cross multiply
    1,382.58x = 2,075.01 × 725.19
  4. Step 4: Simplify right side
    1,382.58x = 1,504,776.50
  5. Step 5: Solve for x
    x = 1,504,776.50/1,382.58
  6. Step 6: Final answer
    x = 1,088.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.