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Finding the Fourth Proportional to 1,489.83, 2,234.97 and 553.08

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Solution

The fourth proportional to 1,489.83, 2,234.97 and 553.08 is: 829.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489.83 : 2,234.97 = 553.08 : x
  2. Step 2: Convert to fraction form
    1,489.83/2,234.97 = 553.08/x
  3. Step 3: Cross multiply
    1,489.83x = 2,234.97 × 553.08
  4. Step 4: Simplify right side
    1,489.83x = 1,236,117.21
  5. Step 5: Solve for x
    x = 1,236,117.21/1,489.83
  6. Step 6: Final answer
    x = 829.70

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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.