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Finding the Fourth Proportional to 1,499.34, 2,249.32 and 526.13

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Solution

The fourth proportional to 1,499.34, 2,249.32 and 526.13 is: 789.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,499.34 : 2,249.32 = 526.13 : x
  2. Step 2: Convert to fraction form
    1,499.34/2,249.32 = 526.13/x
  3. Step 3: Cross multiply
    1,499.34x = 2,249.32 × 526.13
  4. Step 4: Simplify right side
    1,499.34x = 1,183,434.73
  5. Step 5: Solve for x
    x = 1,183,434.73/1,499.34
  6. Step 6: Final answer
    x = 789.30

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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.