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Finding the Fourth Proportional to 1,412.40, 2,118.49 and 632.45

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Solution

The fourth proportional to 1,412.40, 2,118.49 and 632.45 is: 948.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.40 : 2,118.49 = 632.45 : x
  2. Step 2: Convert to fraction form
    1,412.40/2,118.49 = 632.45/x
  3. Step 3: Cross multiply
    1,412.40x = 2,118.49 × 632.45
  4. Step 4: Simplify right side
    1,412.40x = 1,339,839.00
  5. Step 5: Solve for x
    x = 1,339,839.00/1,412.40
  6. Step 6: Final answer
    x = 948.63

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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.