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Finding the Fourth Proportional to 919.76, 1,269 and 570.32

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Solution

The fourth proportional to 919.76, 1,269 and 570.32 is: 786.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.76 : 1,269 = 570.32 : x
  2. Step 2: Convert to fraction form
    919.76/1,269 = 570.32/x
  3. Step 3: Cross multiply
    919.76x = 1,269 × 570.32
  4. Step 4: Simplify right side
    919.76x = 723,736.08
  5. Step 5: Solve for x
    x = 723,736.08/919.76
  6. Step 6: Final answer
    x = 786.87

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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.