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Finding the Fourth Proportional to 846, 1,267.68 and 499.44

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Solution

The fourth proportional to 846, 1,267.68 and 499.44 is: 748.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    846 : 1,267.68 = 499.44 : x
  2. Step 2: Convert to fraction form
    846/1,267.68 = 499.44/x
  3. Step 3: Cross multiply
    846x = 1,267.68 × 499.44
  4. Step 4: Simplify right side
    846x = 633,130.10
  5. Step 5: Solve for x
    x = 633,130.10/846
  6. Step 6: Final answer
    x = 748.38

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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.