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Finding the Fourth Proportional to 1,308.02, 1,961.70 and 486.38

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Solution

The fourth proportional to 1,308.02, 1,961.70 and 486.38 is: 729.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.02 : 1,961.70 = 486.38 : x
  2. Step 2: Convert to fraction form
    1,308.02/1,961.70 = 486.38/x
  3. Step 3: Cross multiply
    1,308.02x = 1,961.70 × 486.38
  4. Step 4: Simplify right side
    1,308.02x = 954,131.65
  5. Step 5: Solve for x
    x = 954,131.65/1,308.02
  6. Step 6: Final answer
    x = 729.45

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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.