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Finding the Fourth Proportional to 1,412.67, 2,119.02 and 438.66

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Solution

The fourth proportional to 1,412.67, 2,119.02 and 438.66 is: 657.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.67 : 2,119.02 = 438.66 : x
  2. Step 2: Convert to fraction form
    1,412.67/2,119.02 = 438.66/x
  3. Step 3: Cross multiply
    1,412.67x = 2,119.02 × 438.66
  4. Step 4: Simplify right side
    1,412.67x = 929,529.31
  5. Step 5: Solve for x
    x = 929,529.31/1,412.67
  6. Step 6: Final answer
    x = 657.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.