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Finding the Fourth Proportional to 1,147.91, 1,584.41 and 650.84

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Solution

The fourth proportional to 1,147.91, 1,584.41 and 650.84 is: 898.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.91 : 1,584.41 = 650.84 : x
  2. Step 2: Convert to fraction form
    1,147.91/1,584.41 = 650.84/x
  3. Step 3: Cross multiply
    1,147.91x = 1,584.41 × 650.84
  4. Step 4: Simplify right side
    1,147.91x = 1,031,186.23
  5. Step 5: Solve for x
    x = 1,031,186.23/1,147.91
  6. Step 6: Final answer
    x = 898.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.