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Finding the Fourth Proportional to 1,228.52, 1,842.45 and 406.76

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Solution

The fourth proportional to 1,228.52, 1,842.45 and 406.76 is: 610.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.52 : 1,842.45 = 406.76 : x
  2. Step 2: Convert to fraction form
    1,228.52/1,842.45 = 406.76/x
  3. Step 3: Cross multiply
    1,228.52x = 1,842.45 × 406.76
  4. Step 4: Simplify right side
    1,228.52x = 749,434.96
  5. Step 5: Solve for x
    x = 749,434.96/1,228.52
  6. Step 6: Final answer
    x = 610.03

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