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Finding the Fourth Proportional to 1,220.28, 1,829.58 and 643.56

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Solution

The fourth proportional to 1,220.28, 1,829.58 and 643.56 is: 964.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.28 : 1,829.58 = 643.56 : x
  2. Step 2: Convert to fraction form
    1,220.28/1,829.58 = 643.56/x
  3. Step 3: Cross multiply
    1,220.28x = 1,829.58 × 643.56
  4. Step 4: Simplify right side
    1,220.28x = 1,177,444.50
  5. Step 5: Solve for x
    x = 1,177,444.50/1,220.28
  6. Step 6: Final answer
    x = 964.90

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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.