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Finding the Fourth Proportional to 799.76, 1,104.09 and 603.74

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Solution

The fourth proportional to 799.76, 1,104.09 and 603.74 is: 833.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.76 : 1,104.09 = 603.74 : x
  2. Step 2: Convert to fraction form
    799.76/1,104.09 = 603.74/x
  3. Step 3: Cross multiply
    799.76x = 1,104.09 × 603.74
  4. Step 4: Simplify right side
    799.76x = 666,583.30
  5. Step 5: Solve for x
    x = 666,583.30/799.76
  6. Step 6: Final answer
    x = 833.48

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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.