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Finding the Fourth Proportional to 804.12, 1,206.14 and 284.15

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Solution

The fourth proportional to 804.12, 1,206.14 and 284.15 is: 426.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.12 : 1,206.14 = 284.15 : x
  2. Step 2: Convert to fraction form
    804.12/1,206.14 = 284.15/x
  3. Step 3: Cross multiply
    804.12x = 1,206.14 × 284.15
  4. Step 4: Simplify right side
    804.12x = 342,717.23
  5. Step 5: Solve for x
    x = 342,717.23/804.12
  6. Step 6: Final answer
    x = 426.20

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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.