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Finding the Fourth Proportional to 1,164.84, 1,747.27 and 299.15

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Solution

The fourth proportional to 1,164.84, 1,747.27 and 299.15 is: 448.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.84 : 1,747.27 = 299.15 : x
  2. Step 2: Convert to fraction form
    1,164.84/1,747.27 = 299.15/x
  3. Step 3: Cross multiply
    1,164.84x = 1,747.27 × 299.15
  4. Step 4: Simplify right side
    1,164.84x = 522,695.82
  5. Step 5: Solve for x
    x = 522,695.82/1,164.84
  6. Step 6: Final answer
    x = 448.73

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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.