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Finding the Fourth Proportional to 1,412.73, 2,118.98 and 438.80

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Solution

The fourth proportional to 1,412.73, 2,118.98 and 438.80 is: 658.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.73 : 2,118.98 = 438.80 : x
  2. Step 2: Convert to fraction form
    1,412.73/2,118.98 = 438.80/x
  3. Step 3: Cross multiply
    1,412.73x = 2,118.98 × 438.80
  4. Step 4: Simplify right side
    1,412.73x = 929,808.42
  5. Step 5: Solve for x
    x = 929,808.42/1,412.73
  6. Step 6: Final answer
    x = 658.17

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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.