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Finding the Fourth Proportional to 1,486.91, 2,230.77 and 621.83

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Solution

The fourth proportional to 1,486.91, 2,230.77 and 621.83 is: 932.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.91 : 2,230.77 = 621.83 : x
  2. Step 2: Convert to fraction form
    1,486.91/2,230.77 = 621.83/x
  3. Step 3: Cross multiply
    1,486.91x = 2,230.77 × 621.83
  4. Step 4: Simplify right side
    1,486.91x = 1,387,148.56
  5. Step 5: Solve for x
    x = 1,387,148.56/1,486.91
  6. Step 6: Final answer
    x = 932.91

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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.