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Finding the Fourth Proportional to 846.96, 1,269.72 and 822.48

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Solution

The fourth proportional to 846.96, 1,269.72 and 822.48 is: 1,233.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.96 : 1,269.72 = 822.48 : x
  2. Step 2: Convert to fraction form
    846.96/1,269.72 = 822.48/x
  3. Step 3: Cross multiply
    846.96x = 1,269.72 × 822.48
  4. Step 4: Simplify right side
    846.96x = 1,044,319.31
  5. Step 5: Solve for x
    x = 1,044,319.31/846.96
  6. Step 6: Final answer
    x = 1,233.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.