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Finding the Fourth Proportional to 1,024.54, 1,414.01 and 582.35

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Solution

The fourth proportional to 1,024.54, 1,414.01 and 582.35 is: 803.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.54 : 1,414.01 = 582.35 : x
  2. Step 2: Convert to fraction form
    1,024.54/1,414.01 = 582.35/x
  3. Step 3: Cross multiply
    1,024.54x = 1,414.01 × 582.35
  4. Step 4: Simplify right side
    1,024.54x = 823,448.72
  5. Step 5: Solve for x
    x = 823,448.72/1,024.54
  6. Step 6: Final answer
    x = 803.73

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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.