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Finding the Fourth Proportional to 688.96, 1,033 and 299.21

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Solution

The fourth proportional to 688.96, 1,033 and 299.21 is: 448.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.96 : 1,033 = 299.21 : x
  2. Step 2: Convert to fraction form
    688.96/1,033 = 299.21/x
  3. Step 3: Cross multiply
    688.96x = 1,033 × 299.21
  4. Step 4: Simplify right side
    688.96x = 309,083.93
  5. Step 5: Solve for x
    x = 309,083.93/688.96
  6. Step 6: Final answer
    x = 448.62

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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.