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Finding the Fourth Proportional to 1,308.58, 1,963.23 and 1,165.30

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Solution

The fourth proportional to 1,308.58, 1,963.23 and 1,165.30 is: 1,748.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.58 : 1,963.23 = 1,165.30 : x
  2. Step 2: Convert to fraction form
    1,308.58/1,963.23 = 1,165.30/x
  3. Step 3: Cross multiply
    1,308.58x = 1,963.23 × 1,165.30
  4. Step 4: Simplify right side
    1,308.58x = 2,287,751.92
  5. Step 5: Solve for x
    x = 2,287,751.92/1,308.58
  6. Step 6: Final answer
    x = 1,748.27

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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.