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Finding the Fourth Proportional to 846.05, 1,269.29 and 325.91

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Solution

The fourth proportional to 846.05, 1,269.29 and 325.91 is: 488.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.05 : 1,269.29 = 325.91 : x
  2. Step 2: Convert to fraction form
    846.05/1,269.29 = 325.91/x
  3. Step 3: Cross multiply
    846.05x = 1,269.29 × 325.91
  4. Step 4: Simplify right side
    846.05x = 413,677.40
  5. Step 5: Solve for x
    x = 413,677.40/846.05
  6. Step 6: Final answer
    x = 488.95

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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.