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Finding the Fourth Proportional to 1,024.94, 1,414.41 and 559.19

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Solution

The fourth proportional to 1,024.94, 1,414.41 and 559.19 is: 771.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.94 : 1,414.41 = 559.19 : x
  2. Step 2: Convert to fraction form
    1,024.94/1,414.41 = 559.19/x
  3. Step 3: Cross multiply
    1,024.94x = 1,414.41 × 559.19
  4. Step 4: Simplify right side
    1,024.94x = 790,923.93
  5. Step 5: Solve for x
    x = 790,923.93/1,024.94
  6. Step 6: Final answer
    x = 771.68

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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.