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Finding the Fourth Proportional to 1,512.99, 2,269.96 and 458.87

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Solution

The fourth proportional to 1,512.99, 2,269.96 and 458.87 is: 688.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.99 : 2,269.96 = 458.87 : x
  2. Step 2: Convert to fraction form
    1,512.99/2,269.96 = 458.87/x
  3. Step 3: Cross multiply
    1,512.99x = 2,269.96 × 458.87
  4. Step 4: Simplify right side
    1,512.99x = 1,041,604.05
  5. Step 5: Solve for x
    x = 1,041,604.05/1,512.99
  6. Step 6: Final answer
    x = 688.44

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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.