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Finding the Fourth Proportional to 804.55, 1,206.98 and 342.32

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Solution

The fourth proportional to 804.55, 1,206.98 and 342.32 is: 513.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.55 : 1,206.98 = 342.32 : x
  2. Step 2: Convert to fraction form
    804.55/1,206.98 = 342.32/x
  3. Step 3: Cross multiply
    804.55x = 1,206.98 × 342.32
  4. Step 4: Simplify right side
    804.55x = 413,173.39
  5. Step 5: Solve for x
    x = 413,173.39/804.55
  6. Step 6: Final answer
    x = 513.55

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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.