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Finding the Fourth Proportional to 919.47, 1,268.85 and 499.81

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Solution

The fourth proportional to 919.47, 1,268.85 and 499.81 is: 689.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.47 : 1,268.85 = 499.81 : x
  2. Step 2: Convert to fraction form
    919.47/1,268.85 = 499.81/x
  3. Step 3: Cross multiply
    919.47x = 1,268.85 × 499.81
  4. Step 4: Simplify right side
    919.47x = 634,186.89
  5. Step 5: Solve for x
    x = 634,186.89/919.47
  6. Step 6: Final answer
    x = 689.73

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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.