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Finding the Fourth Proportional to 1,340.07, 2,008.68 and 646.30

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Solution

The fourth proportional to 1,340.07, 2,008.68 and 646.30 is: 968.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.07 : 2,008.68 = 646.30 : x
  2. Step 2: Convert to fraction form
    1,340.07/2,008.68 = 646.30/x
  3. Step 3: Cross multiply
    1,340.07x = 2,008.68 × 646.30
  4. Step 4: Simplify right side
    1,340.07x = 1,298,209.88
  5. Step 5: Solve for x
    x = 1,298,209.88/1,340.07
  6. Step 6: Final answer
    x = 968.76

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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.