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Finding the Fourth Proportional to 804.50, 1,206.87 and 291.62

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Solution

The fourth proportional to 804.50, 1,206.87 and 291.62 is: 437.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.50 : 1,206.87 = 291.62 : x
  2. Step 2: Convert to fraction form
    804.50/1,206.87 = 291.62/x
  3. Step 3: Cross multiply
    804.50x = 1,206.87 × 291.62
  4. Step 4: Simplify right side
    804.50x = 351,947.43
  5. Step 5: Solve for x
    x = 351,947.43/804.50
  6. Step 6: Final answer
    x = 437.47

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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.