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Finding the Fourth Proportional to 846.48, 1,267.04 and 758.44

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Solution

The fourth proportional to 846.48, 1,267.04 and 758.44 is: 1,135.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.48 : 1,267.04 = 758.44 : x
  2. Step 2: Convert to fraction form
    846.48/1,267.04 = 758.44/x
  3. Step 3: Cross multiply
    846.48x = 1,267.04 × 758.44
  4. Step 4: Simplify right side
    846.48x = 960,973.82
  5. Step 5: Solve for x
    x = 960,973.82/846.48
  6. Step 6: Final answer
    x = 1,135.26

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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.