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Finding the Fourth Proportional to 1,024.78, 1,414.14 and 582.66

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Solution

The fourth proportional to 1,024.78, 1,414.14 and 582.66 is: 804.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.78 : 1,414.14 = 582.66 : x
  2. Step 2: Convert to fraction form
    1,024.78/1,414.14 = 582.66/x
  3. Step 3: Cross multiply
    1,024.78x = 1,414.14 × 582.66
  4. Step 4: Simplify right side
    1,024.78x = 823,962.81
  5. Step 5: Solve for x
    x = 823,962.81/1,024.78
  6. Step 6: Final answer
    x = 804.04

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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.