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Finding the Fourth Proportional to 1,412.51, 2,118.62 and 438.54

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Solution

The fourth proportional to 1,412.51, 2,118.62 and 438.54 is: 657.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.51 : 2,118.62 = 438.54 : x
  2. Step 2: Convert to fraction form
    1,412.51/2,118.62 = 438.54/x
  3. Step 3: Cross multiply
    1,412.51x = 2,118.62 × 438.54
  4. Step 4: Simplify right side
    1,412.51x = 929,096.87
  5. Step 5: Solve for x
    x = 929,096.87/1,412.51
  6. Step 6: Final answer
    x = 657.76

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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.