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Finding the Fourth Proportional to 1,308.02, 1,962.01 and 334.12

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Solution

The fourth proportional to 1,308.02, 1,962.01 and 334.12 is: 501.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.02 : 1,962.01 = 334.12 : x
  2. Step 2: Convert to fraction form
    1,308.02/1,962.01 = 334.12/x
  3. Step 3: Cross multiply
    1,308.02x = 1,962.01 × 334.12
  4. Step 4: Simplify right side
    1,308.02x = 655,546.78
  5. Step 5: Solve for x
    x = 655,546.78/1,308.02
  6. Step 6: Final answer
    x = 501.17

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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.