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Finding the Fourth Proportional to 1,025.04, 1,414.47 and 582.94

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Solution

The fourth proportional to 1,025.04, 1,414.47 and 582.94 is: 804.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.04 : 1,414.47 = 582.94 : x
  2. Step 2: Convert to fraction form
    1,025.04/1,414.47 = 582.94/x
  3. Step 3: Cross multiply
    1,025.04x = 1,414.47 × 582.94
  4. Step 4: Simplify right side
    1,025.04x = 824,551.14
  5. Step 5: Solve for x
    x = 824,551.14/1,025.04
  6. Step 6: Final answer
    x = 804.41

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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.