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Finding the Fourth Proportional to 1,228.02, 1,842.52 and 578.80

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Solution

The fourth proportional to 1,228.02, 1,842.52 and 578.80 is: 868.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.02 : 1,842.52 = 578.80 : x
  2. Step 2: Convert to fraction form
    1,228.02/1,842.52 = 578.80/x
  3. Step 3: Cross multiply
    1,228.02x = 1,842.52 × 578.80
  4. Step 4: Simplify right side
    1,228.02x = 1,066,450.58
  5. Step 5: Solve for x
    x = 1,066,450.58/1,228.02
  6. Step 6: Final answer
    x = 868.43

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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.