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Finding the Fourth Proportional to 1,024.57, 1,414.02 and 582.58

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Solution

The fourth proportional to 1,024.57, 1,414.02 and 582.58 is: 804.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.57 : 1,414.02 = 582.58 : x
  2. Step 2: Convert to fraction form
    1,024.57/1,414.02 = 582.58/x
  3. Step 3: Cross multiply
    1,024.57x = 1,414.02 × 582.58
  4. Step 4: Simplify right side
    1,024.57x = 823,779.77
  5. Step 5: Solve for x
    x = 823,779.77/1,024.57
  6. Step 6: Final answer
    x = 804.02

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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.