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Finding the Fourth Proportional to 1,025.17, 1,414.53 and 582.96

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Solution

The fourth proportional to 1,025.17, 1,414.53 and 582.96 is: 804.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.17 : 1,414.53 = 582.96 : x
  2. Step 2: Convert to fraction form
    1,025.17/1,414.53 = 582.96/x
  3. Step 3: Cross multiply
    1,025.17x = 1,414.53 × 582.96
  4. Step 4: Simplify right side
    1,025.17x = 824,614.41
  5. Step 5: Solve for x
    x = 824,614.41/1,025.17
  6. Step 6: Final answer
    x = 804.37

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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.