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Finding the Fourth Proportional to 846.88, 1,269.10 and 359.26

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Solution

The fourth proportional to 846.88, 1,269.10 and 359.26 is: 538.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.88 : 1,269.10 = 359.26 : x
  2. Step 2: Convert to fraction form
    846.88/1,269.10 = 359.26/x
  3. Step 3: Cross multiply
    846.88x = 1,269.10 × 359.26
  4. Step 4: Simplify right side
    846.88x = 455,936.87
  5. Step 5: Solve for x
    x = 455,936.87/846.88
  6. Step 6: Final answer
    x = 538.37

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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.