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Finding the Fourth Proportional to 919.10, 1,268.53 and 526.15

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Solution

The fourth proportional to 919.10, 1,268.53 and 526.15 is: 726.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.10 : 1,268.53 = 526.15 : x
  2. Step 2: Convert to fraction form
    919.10/1,268.53 = 526.15/x
  3. Step 3: Cross multiply
    919.10x = 1,268.53 × 526.15
  4. Step 4: Simplify right side
    919.10x = 667,437.06
  5. Step 5: Solve for x
    x = 667,437.06/919.10
  6. Step 6: Final answer
    x = 726.19

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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.