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Finding the Fourth Proportional to 1,499.63, 2,249.15 and 575.19

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Solution

The fourth proportional to 1,499.63, 2,249.15 and 575.19 is: 862.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,499.63 : 2,249.15 = 575.19 : x
  2. Step 2: Convert to fraction form
    1,499.63/2,249.15 = 575.19/x
  3. Step 3: Cross multiply
    1,499.63x = 2,249.15 × 575.19
  4. Step 4: Simplify right side
    1,499.63x = 1,293,685.71
  5. Step 5: Solve for x
    x = 1,293,685.71/1,499.63
  6. Step 6: Final answer
    x = 862.67

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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.