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Finding the Fourth Proportional to 695.34, 1,041.73 and 475.97

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Solution

The fourth proportional to 695.34, 1,041.73 and 475.97 is: 713.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.34 : 1,041.73 = 475.97 : x
  2. Step 2: Convert to fraction form
    695.34/1,041.73 = 475.97/x
  3. Step 3: Cross multiply
    695.34x = 1,041.73 × 475.97
  4. Step 4: Simplify right side
    695.34x = 495,825.83
  5. Step 5: Solve for x
    x = 495,825.83/695.34
  6. Step 6: Final answer
    x = 713.07

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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.