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Finding the Fourth Proportional to 1,024.99, 1,414.33 and 576.86

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Solution

The fourth proportional to 1,024.99, 1,414.33 and 576.86 is: 795.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.99 : 1,414.33 = 576.86 : x
  2. Step 2: Convert to fraction form
    1,024.99/1,414.33 = 576.86/x
  3. Step 3: Cross multiply
    1,024.99x = 1,414.33 × 576.86
  4. Step 4: Simplify right side
    1,024.99x = 815,861.89
  5. Step 5: Solve for x
    x = 815,861.89/1,024.99
  6. Step 6: Final answer
    x = 795.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.