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Finding the Fourth Proportional to 800.84, 1,200.75 and 313.32

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Solution

The fourth proportional to 800.84, 1,200.75 and 313.32 is: 469.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.84 : 1,200.75 = 313.32 : x
  2. Step 2: Convert to fraction form
    800.84/1,200.75 = 313.32/x
  3. Step 3: Cross multiply
    800.84x = 1,200.75 × 313.32
  4. Step 4: Simplify right side
    800.84x = 376,218.99
  5. Step 5: Solve for x
    x = 376,218.99/800.84
  6. Step 6: Final answer
    x = 469.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.