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Finding the Fourth Proportional to 1,023.36, 1,411.62 and 650.16

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Solution

The fourth proportional to 1,023.36, 1,411.62 and 650.16 is: 896.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.36 : 1,411.62 = 650.16 : x
  2. Step 2: Convert to fraction form
    1,023.36/1,411.62 = 650.16/x
  3. Step 3: Cross multiply
    1,023.36x = 1,411.62 × 650.16
  4. Step 4: Simplify right side
    1,023.36x = 917,778.86
  5. Step 5: Solve for x
    x = 917,778.86/1,023.36
  6. Step 6: Final answer
    x = 896.83

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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.