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Finding the Fourth Proportional to 1,075.73, 1,616.30 and 685.91

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Solution

The fourth proportional to 1,075.73, 1,616.30 and 685.91 is: 1,030.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.73 : 1,616.30 = 685.91 : x
  2. Step 2: Convert to fraction form
    1,075.73/1,616.30 = 685.91/x
  3. Step 3: Cross multiply
    1,075.73x = 1,616.30 × 685.91
  4. Step 4: Simplify right side
    1,075.73x = 1,108,642.09
  5. Step 5: Solve for x
    x = 1,108,642.09/1,075.73
  6. Step 6: Final answer
    x = 1,030.59

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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.