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Finding the Fourth Proportional to 800.84, 1,105.17 and 486.05

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Solution

The fourth proportional to 800.84, 1,105.17 and 486.05 is: 670.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.84 : 1,105.17 = 486.05 : x
  2. Step 2: Convert to fraction form
    800.84/1,105.17 = 486.05/x
  3. Step 3: Cross multiply
    800.84x = 1,105.17 × 486.05
  4. Step 4: Simplify right side
    800.84x = 537,162.35
  5. Step 5: Solve for x
    x = 537,162.35/800.84
  6. Step 6: Final answer
    x = 670.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.