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Finding the Fourth Proportional to 1,165, 1,747.50 and 299.32

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Solution

The fourth proportional to 1,165, 1,747.50 and 299.32 is: 448.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165 : 1,747.50 = 299.32 : x
  2. Step 2: Convert to fraction form
    1,165/1,747.50 = 299.32/x
  3. Step 3: Cross multiply
    1,165x = 1,747.50 × 299.32
  4. Step 4: Simplify right side
    1,165x = 523,061.70
  5. Step 5: Solve for x
    x = 523,061.70/1,165
  6. Step 6: Final answer
    x = 448.98

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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.