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Finding the Fourth Proportional to 695.12, 1,043.75 and 461.19

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Solution

The fourth proportional to 695.12, 1,043.75 and 461.19 is: 692.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.12 : 1,043.75 = 461.19 : x
  2. Step 2: Convert to fraction form
    695.12/1,043.75 = 461.19/x
  3. Step 3: Cross multiply
    695.12x = 1,043.75 × 461.19
  4. Step 4: Simplify right side
    695.12x = 481,372.13
  5. Step 5: Solve for x
    x = 481,372.13/695.12
  6. Step 6: Final answer
    x = 692.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.