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Finding the Fourth Proportional to 1,226.23, 1,692.26 and 695.15

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Solution

The fourth proportional to 1,226.23, 1,692.26 and 695.15 is: 959.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.23 : 1,692.26 = 695.15 : x
  2. Step 2: Convert to fraction form
    1,226.23/1,692.26 = 695.15/x
  3. Step 3: Cross multiply
    1,226.23x = 1,692.26 × 695.15
  4. Step 4: Simplify right side
    1,226.23x = 1,176,376.28
  5. Step 5: Solve for x
    x = 1,176,376.28/1,226.23
  6. Step 6: Final answer
    x = 959.35

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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.