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Finding the Fourth Proportional to 1,221.96, 1,829.45 and 810.28

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Solution

The fourth proportional to 1,221.96, 1,829.45 and 810.28 is: 1,213.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.96 : 1,829.45 = 810.28 : x
  2. Step 2: Convert to fraction form
    1,221.96/1,829.45 = 810.28/x
  3. Step 3: Cross multiply
    1,221.96x = 1,829.45 × 810.28
  4. Step 4: Simplify right side
    1,221.96x = 1,482,366.75
  5. Step 5: Solve for x
    x = 1,482,366.75/1,221.96
  6. Step 6: Final answer
    x = 1,213.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.