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Finding the Fourth Proportional to 1,382.19, 1,907.30 and 814.93

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Solution

The fourth proportional to 1,382.19, 1,907.30 and 814.93 is: 1,124.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.19 : 1,907.30 = 814.93 : x
  2. Step 2: Convert to fraction form
    1,382.19/1,907.30 = 814.93/x
  3. Step 3: Cross multiply
    1,382.19x = 1,907.30 × 814.93
  4. Step 4: Simplify right side
    1,382.19x = 1,554,315.99
  5. Step 5: Solve for x
    x = 1,554,315.99/1,382.19
  6. Step 6: Final answer
    x = 1,124.54

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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.