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Finding the Fourth Proportional to 804.66, 1,206.75 and 284.57

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Solution

The fourth proportional to 804.66, 1,206.75 and 284.57 is: 426.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.66 : 1,206.75 = 284.57 : x
  2. Step 2: Convert to fraction form
    804.66/1,206.75 = 284.57/x
  3. Step 3: Cross multiply
    804.66x = 1,206.75 × 284.57
  4. Step 4: Simplify right side
    804.66x = 343,398.81
  5. Step 5: Solve for x
    x = 343,398.81/804.66
  6. Step 6: Final answer
    x = 426.76

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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.