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Finding the Fourth Proportional to 1,228.98, 1,842.66 and 812.02

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Solution

The fourth proportional to 1,228.98, 1,842.66 and 812.02 is: 1,217.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.98 : 1,842.66 = 812.02 : x
  2. Step 2: Convert to fraction form
    1,228.98/1,842.66 = 812.02/x
  3. Step 3: Cross multiply
    1,228.98x = 1,842.66 × 812.02
  4. Step 4: Simplify right side
    1,228.98x = 1,496,276.77
  5. Step 5: Solve for x
    x = 1,496,276.77/1,228.98
  6. Step 6: Final answer
    x = 1,217.49

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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.