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Finding the Fourth Proportional to 1,308.55, 1,962.89 and 334.66

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Solution

The fourth proportional to 1,308.55, 1,962.89 and 334.66 is: 502.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.55 : 1,962.89 = 334.66 : x
  2. Step 2: Convert to fraction form
    1,308.55/1,962.89 = 334.66/x
  3. Step 3: Cross multiply
    1,308.55x = 1,962.89 × 334.66
  4. Step 4: Simplify right side
    1,308.55x = 656,900.77
  5. Step 5: Solve for x
    x = 656,900.77/1,308.55
  6. Step 6: Final answer
    x = 502.01

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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.