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Finding the Fourth Proportional to 1,308.21, 1,962.42 and 577.59

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Solution

The fourth proportional to 1,308.21, 1,962.42 and 577.59 is: 866.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.21 : 1,962.42 = 577.59 : x
  2. Step 2: Convert to fraction form
    1,308.21/1,962.42 = 577.59/x
  3. Step 3: Cross multiply
    1,308.21x = 1,962.42 × 577.59
  4. Step 4: Simplify right side
    1,308.21x = 1,133,474.17
  5. Step 5: Solve for x
    x = 1,133,474.17/1,308.21
  6. Step 6: Final answer
    x = 866.43

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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.