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Finding the Fourth Proportional to 1,022.90, 1,411.52 and 603.18

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Solution

The fourth proportional to 1,022.90, 1,411.52 and 603.18 is: 832.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.90 : 1,411.52 = 603.18 : x
  2. Step 2: Convert to fraction form
    1,022.90/1,411.52 = 603.18/x
  3. Step 3: Cross multiply
    1,022.90x = 1,411.52 × 603.18
  4. Step 4: Simplify right side
    1,022.90x = 851,397.62
  5. Step 5: Solve for x
    x = 851,397.62/1,022.90
  6. Step 6: Final answer
    x = 832.34

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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.