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Finding the Fourth Proportional to 695.13, 954.26 and 596.72

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Solution

The fourth proportional to 695.13, 954.26 and 596.72 is: 819.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.13 : 954.26 = 596.72 : x
  2. Step 2: Convert to fraction form
    695.13/954.26 = 596.72/x
  3. Step 3: Cross multiply
    695.13x = 954.26 × 596.72
  4. Step 4: Simplify right side
    695.13x = 569,426.03
  5. Step 5: Solve for x
    x = 569,426.03/695.13
  6. Step 6: Final answer
    x = 819.16

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.