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Finding the Fourth Proportional to 737.86, 1,106.58 and 299.11

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Solution

The fourth proportional to 737.86, 1,106.58 and 299.11 is: 448.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.86 : 1,106.58 = 299.11 : x
  2. Step 2: Convert to fraction form
    737.86/1,106.58 = 299.11/x
  3. Step 3: Cross multiply
    737.86x = 1,106.58 × 299.11
  4. Step 4: Simplify right side
    737.86x = 330,989.14
  5. Step 5: Solve for x
    x = 330,989.14/737.86
  6. Step 6: Final answer
    x = 448.58

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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.