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Finding the Fourth Proportional to 1,499.83, 2,249.64 and 526

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Solution

The fourth proportional to 1,499.83, 2,249.64 and 526 is: 788.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,499.83 : 2,249.64 = 526 : x
  2. Step 2: Convert to fraction form
    1,499.83/2,249.64 = 526/x
  3. Step 3: Cross multiply
    1,499.83x = 2,249.64 × 526
  4. Step 4: Simplify right side
    1,499.83x = 1,183,310.64
  5. Step 5: Solve for x
    x = 1,183,310.64/1,499.83
  6. Step 6: Final answer
    x = 788.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.