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Finding the Fourth Proportional to 1,100.98, 1,519.36 and 603.64

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Solution

The fourth proportional to 1,100.98, 1,519.36 and 603.64 is: 833.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.98 : 1,519.36 = 603.64 : x
  2. Step 2: Convert to fraction form
    1,100.98/1,519.36 = 603.64/x
  3. Step 3: Cross multiply
    1,100.98x = 1,519.36 × 603.64
  4. Step 4: Simplify right side
    1,100.98x = 917,146.86
  5. Step 5: Solve for x
    x = 917,146.86/1,100.98
  6. Step 6: Final answer
    x = 833.03

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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.