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Finding the Fourth Proportional to 1,226.55, 1,839.23 and 435.65

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Solution

The fourth proportional to 1,226.55, 1,839.23 and 435.65 is: 653.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.55 : 1,839.23 = 435.65 : x
  2. Step 2: Convert to fraction form
    1,226.55/1,839.23 = 435.65/x
  3. Step 3: Cross multiply
    1,226.55x = 1,839.23 × 435.65
  4. Step 4: Simplify right side
    1,226.55x = 801,249.18
  5. Step 5: Solve for x
    x = 801,249.18/1,226.55
  6. Step 6: Final answer
    x = 653.25

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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.