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Finding the Fourth Proportional to 919.18, 1,268.69 and 565.19

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Solution

The fourth proportional to 919.18, 1,268.69 and 565.19 is: 780.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.18 : 1,268.69 = 565.19 : x
  2. Step 2: Convert to fraction form
    919.18/1,268.69 = 565.19/x
  3. Step 3: Cross multiply
    919.18x = 1,268.69 × 565.19
  4. Step 4: Simplify right side
    919.18x = 717,050.90
  5. Step 5: Solve for x
    x = 717,050.90/919.18
  6. Step 6: Final answer
    x = 780.10

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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.