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Finding the Fourth Proportional to 1,324.07, 1,984.69 and 445.74

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Solution

The fourth proportional to 1,324.07, 1,984.69 and 445.74 is: 668.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.07 : 1,984.69 = 445.74 : x
  2. Step 2: Convert to fraction form
    1,324.07/1,984.69 = 445.74/x
  3. Step 3: Cross multiply
    1,324.07x = 1,984.69 × 445.74
  4. Step 4: Simplify right side
    1,324.07x = 884,655.72
  5. Step 5: Solve for x
    x = 884,655.72/1,324.07
  6. Step 6: Final answer
    x = 668.13

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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.