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Finding the Fourth Proportional to 1,145.98, 1,581.33 and 847.41

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Solution

The fourth proportional to 1,145.98, 1,581.33 and 847.41 is: 1,169.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.98 : 1,581.33 = 847.41 : x
  2. Step 2: Convert to fraction form
    1,145.98/1,581.33 = 847.41/x
  3. Step 3: Cross multiply
    1,145.98x = 1,581.33 × 847.41
  4. Step 4: Simplify right side
    1,145.98x = 1,340,034.86
  5. Step 5: Solve for x
    x = 1,340,034.86/1,145.98
  6. Step 6: Final answer
    x = 1,169.34

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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.