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Finding the Fourth Proportional to 1,412.75, 2,119.09 and 632.57

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Solution

The fourth proportional to 1,412.75, 2,119.09 and 632.57 is: 948.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.75 : 2,119.09 = 632.57 : x
  2. Step 2: Convert to fraction form
    1,412.75/2,119.09 = 632.57/x
  3. Step 3: Cross multiply
    1,412.75x = 2,119.09 × 632.57
  4. Step 4: Simplify right side
    1,412.75x = 1,340,472.76
  5. Step 5: Solve for x
    x = 1,340,472.76/1,412.75
  6. Step 6: Final answer
    x = 948.84

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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.