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Finding the Fourth Proportional to 1,308.44, 1,961.53 and 577.46

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Solution

The fourth proportional to 1,308.44, 1,961.53 and 577.46 is: 865.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.44 : 1,961.53 = 577.46 : x
  2. Step 2: Convert to fraction form
    1,308.44/1,961.53 = 577.46/x
  3. Step 3: Cross multiply
    1,308.44x = 1,961.53 × 577.46
  4. Step 4: Simplify right side
    1,308.44x = 1,132,705.11
  5. Step 5: Solve for x
    x = 1,132,705.11/1,308.44
  6. Step 6: Final answer
    x = 865.69

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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.