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Finding the Fourth Proportional to 1,382.98, 2,075.19 and 561.86

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Solution

The fourth proportional to 1,382.98, 2,075.19 and 561.86 is: 843.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.98 : 2,075.19 = 561.86 : x
  2. Step 2: Convert to fraction form
    1,382.98/2,075.19 = 561.86/x
  3. Step 3: Cross multiply
    1,382.98x = 2,075.19 × 561.86
  4. Step 4: Simplify right side
    1,382.98x = 1,165,966.25
  5. Step 5: Solve for x
    x = 1,165,966.25/1,382.98
  6. Step 6: Final answer
    x = 843.08

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