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Finding the Fourth Proportional to 846.92, 1,270.62 and 299.08

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Solution

The fourth proportional to 846.92, 1,270.62 and 299.08 is: 448.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.92 : 1,270.62 = 299.08 : x
  2. Step 2: Convert to fraction form
    846.92/1,270.62 = 299.08/x
  3. Step 3: Cross multiply
    846.92x = 1,270.62 × 299.08
  4. Step 4: Simplify right side
    846.92x = 380,017.03
  5. Step 5: Solve for x
    x = 380,017.03/846.92
  6. Step 6: Final answer
    x = 448.70

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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.