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Finding the Fourth Proportional to 1,107.52, 1,661.87 and 491.67

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Solution

The fourth proportional to 1,107.52, 1,661.87 and 491.67 is: 737.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.52 : 1,661.87 = 491.67 : x
  2. Step 2: Convert to fraction form
    1,107.52/1,661.87 = 491.67/x
  3. Step 3: Cross multiply
    1,107.52x = 1,661.87 × 491.67
  4. Step 4: Simplify right side
    1,107.52x = 817,090.09
  5. Step 5: Solve for x
    x = 817,090.09/1,107.52
  6. Step 6: Final answer
    x = 737.76

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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.