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Finding the Fourth Proportional to 800.77, 1,199.82 and 491.68

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Solution

The fourth proportional to 800.77, 1,199.82 and 491.68 is: 736.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.77 : 1,199.82 = 491.68 : x
  2. Step 2: Convert to fraction form
    800.77/1,199.82 = 491.68/x
  3. Step 3: Cross multiply
    800.77x = 1,199.82 × 491.68
  4. Step 4: Simplify right side
    800.77x = 589,927.50
  5. Step 5: Solve for x
    x = 589,927.50/800.77
  6. Step 6: Final answer
    x = 736.70

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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.