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Finding the Fourth Proportional to 846.33, 1,269.40 and 401.49

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Solution

The fourth proportional to 846.33, 1,269.40 and 401.49 is: 602.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.33 : 1,269.40 = 401.49 : x
  2. Step 2: Convert to fraction form
    846.33/1,269.40 = 401.49/x
  3. Step 3: Cross multiply
    846.33x = 1,269.40 × 401.49
  4. Step 4: Simplify right side
    846.33x = 509,651.41
  5. Step 5: Solve for x
    x = 509,651.41/846.33
  6. Step 6: Final answer
    x = 602.19

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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.