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Finding the Fourth Proportional to 1,022.97, 1,411.80 and 603.46

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Solution

The fourth proportional to 1,022.97, 1,411.80 and 603.46 is: 832.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.97 : 1,411.80 = 603.46 : x
  2. Step 2: Convert to fraction form
    1,022.97/1,411.80 = 603.46/x
  3. Step 3: Cross multiply
    1,022.97x = 1,411.80 × 603.46
  4. Step 4: Simplify right side
    1,022.97x = 851,957.77
  5. Step 5: Solve for x
    x = 851,957.77/1,022.97
  6. Step 6: Final answer
    x = 832.83

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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.