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Finding the Fourth Proportional to 919.10, 1,268.46 and 526.12

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Solution

The fourth proportional to 919.10, 1,268.46 and 526.12 is: 726.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.10 : 1,268.46 = 526.12 : x
  2. Step 2: Convert to fraction form
    919.10/1,268.46 = 526.12/x
  3. Step 3: Cross multiply
    919.10x = 1,268.46 × 526.12
  4. Step 4: Simplify right side
    919.10x = 667,359.00
  5. Step 5: Solve for x
    x = 667,359.00/919.10
  6. Step 6: Final answer
    x = 726.10

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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.