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Finding the Fourth Proportional to 1,230.90, 1,846.37 and 386.61

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Solution

The fourth proportional to 1,230.90, 1,846.37 and 386.61 is: 579.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.90 : 1,846.37 = 386.61 : x
  2. Step 2: Convert to fraction form
    1,230.90/1,846.37 = 386.61/x
  3. Step 3: Cross multiply
    1,230.90x = 1,846.37 × 386.61
  4. Step 4: Simplify right side
    1,230.90x = 713,823.17
  5. Step 5: Solve for x
    x = 713,823.17/1,230.90
  6. Step 6: Final answer
    x = 579.92

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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.