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Finding the Fourth Proportional to 1,069.98, 1,603.20 and 658.26

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Solution

The fourth proportional to 1,069.98, 1,603.20 and 658.26 is: 986.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.98 : 1,603.20 = 658.26 : x
  2. Step 2: Convert to fraction form
    1,069.98/1,603.20 = 658.26/x
  3. Step 3: Cross multiply
    1,069.98x = 1,603.20 × 658.26
  4. Step 4: Simplify right side
    1,069.98x = 1,055,322.43
  5. Step 5: Solve for x
    x = 1,055,322.43/1,069.98
  6. Step 6: Final answer
    x = 986.30

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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.