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Finding the Fourth Proportional to 695.56, 957.68 and 590.42

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Solution

The fourth proportional to 695.56, 957.68 and 590.42 is: 812.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.56 : 957.68 = 590.42 : x
  2. Step 2: Convert to fraction form
    695.56/957.68 = 590.42/x
  3. Step 3: Cross multiply
    695.56x = 957.68 × 590.42
  4. Step 4: Simplify right side
    695.56x = 565,433.43
  5. Step 5: Solve for x
    x = 565,433.43/695.56
  6. Step 6: Final answer
    x = 812.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.