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Finding the Fourth Proportional to 919.59, 1,266.12 and 779.40

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Solution

The fourth proportional to 919.59, 1,266.12 and 779.40 is: 1,073.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.59 : 1,266.12 = 779.40 : x
  2. Step 2: Convert to fraction form
    919.59/1,266.12 = 779.40/x
  3. Step 3: Cross multiply
    919.59x = 1,266.12 × 779.40
  4. Step 4: Simplify right side
    919.59x = 986,813.93
  5. Step 5: Solve for x
    x = 986,813.93/919.59
  6. Step 6: Final answer
    x = 1,073.10

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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.