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Finding the Fourth Proportional to 846.70, 1,270.02 and 299.26

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Solution

The fourth proportional to 846.70, 1,270.02 and 299.26 is: 448.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.70 : 1,270.02 = 299.26 : x
  2. Step 2: Convert to fraction form
    846.70/1,270.02 = 299.26/x
  3. Step 3: Cross multiply
    846.70x = 1,270.02 × 299.26
  4. Step 4: Simplify right side
    846.70x = 380,066.19
  5. Step 5: Solve for x
    x = 380,066.19/846.70
  6. Step 6: Final answer
    x = 448.88

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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.