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Finding the Fourth Proportional to 1,646.31, 2,466.87 and 604.88

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Solution

The fourth proportional to 1,646.31, 2,466.87 and 604.88 is: 906.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.31 : 2,466.87 = 604.88 : x
  2. Step 2: Convert to fraction form
    1,646.31/2,466.87 = 604.88/x
  3. Step 3: Cross multiply
    1,646.31x = 2,466.87 × 604.88
  4. Step 4: Simplify right side
    1,646.31x = 1,492,147.99
  5. Step 5: Solve for x
    x = 1,492,147.99/1,646.31
  6. Step 6: Final answer
    x = 906.36

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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.