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Finding the Fourth Proportional to 1,499.14, 2,248.68 and 403.54

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Solution

The fourth proportional to 1,499.14, 2,248.68 and 403.54 is: 605.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,499.14 : 2,248.68 = 403.54 : x
  2. Step 2: Convert to fraction form
    1,499.14/2,248.68 = 403.54/x
  3. Step 3: Cross multiply
    1,499.14x = 2,248.68 × 403.54
  4. Step 4: Simplify right side
    1,499.14x = 907,432.33
  5. Step 5: Solve for x
    x = 907,432.33/1,499.14
  6. Step 6: Final answer
    x = 605.30

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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.