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Finding the Fourth Proportional to 1,308.32, 1,962.53 and 334.43

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Solution

The fourth proportional to 1,308.32, 1,962.53 and 334.43 is: 501.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.32 : 1,962.53 = 334.43 : x
  2. Step 2: Convert to fraction form
    1,308.32/1,962.53 = 334.43/x
  3. Step 3: Cross multiply
    1,308.32x = 1,962.53 × 334.43
  4. Step 4: Simplify right side
    1,308.32x = 656,327.24
  5. Step 5: Solve for x
    x = 656,327.24/1,308.32
  6. Step 6: Final answer
    x = 501.66

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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.