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Finding the Fourth Proportional to 1,024.56, 1,414.08 and 582.66

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Solution

The fourth proportional to 1,024.56, 1,414.08 and 582.66 is: 804.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.56 : 1,414.08 = 582.66 : x
  2. Step 2: Convert to fraction form
    1,024.56/1,414.08 = 582.66/x
  3. Step 3: Cross multiply
    1,024.56x = 1,414.08 × 582.66
  4. Step 4: Simplify right side
    1,024.56x = 823,927.85
  5. Step 5: Solve for x
    x = 823,927.85/1,024.56
  6. Step 6: Final answer
    x = 804.18

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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.