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Finding the Fourth Proportional to 762.05, 1,142.18 and 299.35

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Solution

The fourth proportional to 762.05, 1,142.18 and 299.35 is: 448.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.05 : 1,142.18 = 299.35 : x
  2. Step 2: Convert to fraction form
    762.05/1,142.18 = 299.35/x
  3. Step 3: Cross multiply
    762.05x = 1,142.18 × 299.35
  4. Step 4: Simplify right side
    762.05x = 341,911.58
  5. Step 5: Solve for x
    x = 341,911.58/762.05
  6. Step 6: Final answer
    x = 448.68

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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.