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Finding the Fourth Proportional to 804.59, 1,205.90 and 341.99

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Solution

The fourth proportional to 804.59, 1,205.90 and 341.99 is: 512.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.59 : 1,205.90 = 341.99 : x
  2. Step 2: Convert to fraction form
    804.59/1,205.90 = 341.99/x
  3. Step 3: Cross multiply
    804.59x = 1,205.90 × 341.99
  4. Step 4: Simplify right side
    804.59x = 412,405.74
  5. Step 5: Solve for x
    x = 412,405.74/804.59
  6. Step 6: Final answer
    x = 512.57

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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.