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Finding the Fourth Proportional to 695.51, 1,043.46 and 465.33

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Solution

The fourth proportional to 695.51, 1,043.46 and 465.33 is: 698.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.51 : 1,043.46 = 465.33 : x
  2. Step 2: Convert to fraction form
    695.51/1,043.46 = 465.33/x
  3. Step 3: Cross multiply
    695.51x = 1,043.46 × 465.33
  4. Step 4: Simplify right side
    695.51x = 485,553.24
  5. Step 5: Solve for x
    x = 485,553.24/695.51
  6. Step 6: Final answer
    x = 698.13

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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.