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Finding the Fourth Proportional to 919.50, 1,268.88 and 526.44

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Solution

The fourth proportional to 919.50, 1,268.88 and 526.44 is: 726.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.50 : 1,268.88 = 526.44 : x
  2. Step 2: Convert to fraction form
    919.50/1,268.88 = 526.44/x
  3. Step 3: Cross multiply
    919.50x = 1,268.88 × 526.44
  4. Step 4: Simplify right side
    919.50x = 667,989.19
  5. Step 5: Solve for x
    x = 667,989.19/919.50
  6. Step 6: Final answer
    x = 726.47

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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.