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Finding the Fourth Proportional to 1,024.96, 1,414.42 and 582.80

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Solution

The fourth proportional to 1,024.96, 1,414.42 and 582.80 is: 804.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.96 : 1,414.42 = 582.80 : x
  2. Step 2: Convert to fraction form
    1,024.96/1,414.42 = 582.80/x
  3. Step 3: Cross multiply
    1,024.96x = 1,414.42 × 582.80
  4. Step 4: Simplify right side
    1,024.96x = 824,322.94
  5. Step 5: Solve for x
    x = 824,322.94/1,024.96
  6. Step 6: Final answer
    x = 804.25

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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.