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Finding the Fourth Proportional to 1,483.88, 2,047.86 and 863.24

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Solution

The fourth proportional to 1,483.88, 2,047.86 and 863.24 is: 1,191.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,483.88 : 2,047.86 = 863.24 : x
  2. Step 2: Convert to fraction form
    1,483.88/2,047.86 = 863.24/x
  3. Step 3: Cross multiply
    1,483.88x = 2,047.86 × 863.24
  4. Step 4: Simplify right side
    1,483.88x = 1,767,794.67
  5. Step 5: Solve for x
    x = 1,767,794.67/1,483.88
  6. Step 6: Final answer
    x = 1,191.33

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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.