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Finding the Fourth Proportional to 1,024.99, 1,414.48 and 559.24

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Solution

The fourth proportional to 1,024.99, 1,414.48 and 559.24 is: 771.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.99 : 1,414.48 = 559.24 : x
  2. Step 2: Convert to fraction form
    1,024.99/1,414.48 = 559.24/x
  3. Step 3: Cross multiply
    1,024.99x = 1,414.48 × 559.24
  4. Step 4: Simplify right side
    1,024.99x = 791,026.72
  5. Step 5: Solve for x
    x = 791,026.72/1,024.99
  6. Step 6: Final answer
    x = 771.74

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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.