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Finding the Fourth Proportional to 804.57, 1,206.97 and 342.35

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Solution

The fourth proportional to 804.57, 1,206.97 and 342.35 is: 513.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.57 : 1,206.97 = 342.35 : x
  2. Step 2: Convert to fraction form
    804.57/1,206.97 = 342.35/x
  3. Step 3: Cross multiply
    804.57x = 1,206.97 × 342.35
  4. Step 4: Simplify right side
    804.57x = 413,200.14
  5. Step 5: Solve for x
    x = 413,200.14/804.57
  6. Step 6: Final answer
    x = 513.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.