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Finding the Fourth Proportional to 1,023.38, 1,411.86 and 629.72

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Solution

The fourth proportional to 1,023.38, 1,411.86 and 629.72 is: 868.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.38 : 1,411.86 = 629.72 : x
  2. Step 2: Convert to fraction form
    1,023.38/1,411.86 = 629.72/x
  3. Step 3: Cross multiply
    1,023.38x = 1,411.86 × 629.72
  4. Step 4: Simplify right side
    1,023.38x = 889,076.48
  5. Step 5: Solve for x
    x = 889,076.48/1,023.38
  6. Step 6: Final answer
    x = 868.76

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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.