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Finding the Fourth Proportional to 1,023.22, 1,411.82 and 603.46

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Solution

The fourth proportional to 1,023.22, 1,411.82 and 603.46 is: 832.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.22 : 1,411.82 = 603.46 : x
  2. Step 2: Convert to fraction form
    1,023.22/1,411.82 = 603.46/x
  3. Step 3: Cross multiply
    1,023.22x = 1,411.82 × 603.46
  4. Step 4: Simplify right side
    1,023.22x = 851,976.90
  5. Step 5: Solve for x
    x = 851,976.90/1,023.22
  6. Step 6: Final answer
    x = 832.64

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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.