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Finding the Fourth Proportional to 1,532.67, 2,299.04 and 803.67

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Solution

The fourth proportional to 1,532.67, 2,299.04 and 803.67 is: 1,205.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.67 : 2,299.04 = 803.67 : x
  2. Step 2: Convert to fraction form
    1,532.67/2,299.04 = 803.67/x
  3. Step 3: Cross multiply
    1,532.67x = 2,299.04 × 803.67
  4. Step 4: Simplify right side
    1,532.67x = 1,847,665.46
  5. Step 5: Solve for x
    x = 1,847,665.46/1,532.67
  6. Step 6: Final answer
    x = 1,205.52

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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.