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Finding the Fourth Proportional to 1,308.90, 1,961.98 and 431.18

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Solution

The fourth proportional to 1,308.90, 1,961.98 and 431.18 is: 646.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.90 : 1,961.98 = 431.18 : x
  2. Step 2: Convert to fraction form
    1,308.90/1,961.98 = 431.18/x
  3. Step 3: Cross multiply
    1,308.90x = 1,961.98 × 431.18
  4. Step 4: Simplify right side
    1,308.90x = 845,963.01
  5. Step 5: Solve for x
    x = 845,963.01/1,308.90
  6. Step 6: Final answer
    x = 646.31

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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.