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Finding the Fourth Proportional to 1,308.09, 1,962.12 and 334.27

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Solution

The fourth proportional to 1,308.09, 1,962.12 and 334.27 is: 501.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.09 : 1,962.12 = 334.27 : x
  2. Step 2: Convert to fraction form
    1,308.09/1,962.12 = 334.27/x
  3. Step 3: Cross multiply
    1,308.09x = 1,962.12 × 334.27
  4. Step 4: Simplify right side
    1,308.09x = 655,868.04
  5. Step 5: Solve for x
    x = 655,868.04/1,308.09
  6. Step 6: Final answer
    x = 501.39

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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.