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Finding the Fourth Proportional to 803.93, 1,109.30 and 472.37

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Solution

The fourth proportional to 803.93, 1,109.30 and 472.37 is: 651.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.93 : 1,109.30 = 472.37 : x
  2. Step 2: Convert to fraction form
    803.93/1,109.30 = 472.37/x
  3. Step 3: Cross multiply
    803.93x = 1,109.30 × 472.37
  4. Step 4: Simplify right side
    803.93x = 523,992.13
  5. Step 5: Solve for x
    x = 523,992.13/803.93
  6. Step 6: Final answer
    x = 651.79

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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.