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Finding the Fourth Proportional to 1,483.97, 2,047.88 and 820.85

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Solution

The fourth proportional to 1,483.97, 2,047.88 and 820.85 is: 1,132.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,483.97 : 2,047.88 = 820.85 : x
  2. Step 2: Convert to fraction form
    1,483.97/2,047.88 = 820.85/x
  3. Step 3: Cross multiply
    1,483.97x = 2,047.88 × 820.85
  4. Step 4: Simplify right side
    1,483.97x = 1,680,996.99
  5. Step 5: Solve for x
    x = 1,680,996.99/1,483.97
  6. Step 6: Final answer
    x = 1,132.77

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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.