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Finding the Fourth Proportional to 1,412.53, 2,119.14 and 438.62

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Solution

The fourth proportional to 1,412.53, 2,119.14 and 438.62 is: 658.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.53 : 2,119.14 = 438.62 : x
  2. Step 2: Convert to fraction form
    1,412.53/2,119.14 = 438.62/x
  3. Step 3: Cross multiply
    1,412.53x = 2,119.14 × 438.62
  4. Step 4: Simplify right side
    1,412.53x = 929,486.59
  5. Step 5: Solve for x
    x = 929,486.59/1,412.53
  6. Step 6: Final answer
    x = 658.03

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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.