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Finding the Fourth Proportional to 1,228.18, 1,842.57 and 350.66

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Solution

The fourth proportional to 1,228.18, 1,842.57 and 350.66 is: 526.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.18 : 1,842.57 = 350.66 : x
  2. Step 2: Convert to fraction form
    1,228.18/1,842.57 = 350.66/x
  3. Step 3: Cross multiply
    1,228.18x = 1,842.57 × 350.66
  4. Step 4: Simplify right side
    1,228.18x = 646,115.60
  5. Step 5: Solve for x
    x = 646,115.60/1,228.18
  6. Step 6: Final answer
    x = 526.08

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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.