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Finding the Fourth Proportional to 1,147.80, 1,584.03 and 650.46

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Solution

The fourth proportional to 1,147.80, 1,584.03 and 650.46 is: 897.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.80 : 1,584.03 = 650.46 : x
  2. Step 2: Convert to fraction form
    1,147.80/1,584.03 = 650.46/x
  3. Step 3: Cross multiply
    1,147.80x = 1,584.03 × 650.46
  4. Step 4: Simplify right side
    1,147.80x = 1,030,348.15
  5. Step 5: Solve for x
    x = 1,030,348.15/1,147.80
  6. Step 6: Final answer
    x = 897.67

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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.