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Finding the Fourth Proportional to 804.94, 1,207.58 and 284.99

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Solution

The fourth proportional to 804.94, 1,207.58 and 284.99 is: 427.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.94 : 1,207.58 = 284.99 : x
  2. Step 2: Convert to fraction form
    804.94/1,207.58 = 284.99/x
  3. Step 3: Cross multiply
    804.94x = 1,207.58 × 284.99
  4. Step 4: Simplify right side
    804.94x = 344,140.76
  5. Step 5: Solve for x
    x = 344,140.76/804.94
  6. Step 6: Final answer
    x = 427.54

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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.