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Finding the Fourth Proportional to 1,228.05, 1,841.52 and 394.95

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Solution

The fourth proportional to 1,228.05, 1,841.52 and 394.95 is: 592.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.05 : 1,841.52 = 394.95 : x
  2. Step 2: Convert to fraction form
    1,228.05/1,841.52 = 394.95/x
  3. Step 3: Cross multiply
    1,228.05x = 1,841.52 × 394.95
  4. Step 4: Simplify right side
    1,228.05x = 727,308.32
  5. Step 5: Solve for x
    x = 727,308.32/1,228.05
  6. Step 6: Final answer
    x = 592.25

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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.