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Finding the Fourth Proportional to 919.10, 1,267.73 and 587.39

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Solution

The fourth proportional to 919.10, 1,267.73 and 587.39 is: 810.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.10 : 1,267.73 = 587.39 : x
  2. Step 2: Convert to fraction form
    919.10/1,267.73 = 587.39/x
  3. Step 3: Cross multiply
    919.10x = 1,267.73 × 587.39
  4. Step 4: Simplify right side
    919.10x = 744,647.05
  5. Step 5: Solve for x
    x = 744,647.05/919.10
  6. Step 6: Final answer
    x = 810.19

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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.