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Finding the Fourth Proportional to 919.06, 1,268.16 and 565.04

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Solution

The fourth proportional to 919.06, 1,268.16 and 565.04 is: 779.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.06 : 1,268.16 = 565.04 : x
  2. Step 2: Convert to fraction form
    919.06/1,268.16 = 565.04/x
  3. Step 3: Cross multiply
    919.06x = 1,268.16 × 565.04
  4. Step 4: Simplify right side
    919.06x = 716,561.13
  5. Step 5: Solve for x
    x = 716,561.13/919.06
  6. Step 6: Final answer
    x = 779.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.