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Finding the Fourth Proportional to 631.71, 942.19 and 596.07

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Solution

The fourth proportional to 631.71, 942.19 and 596.07 is: 889.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.71 : 942.19 = 596.07 : x
  2. Step 2: Convert to fraction form
    631.71/942.19 = 596.07/x
  3. Step 3: Cross multiply
    631.71x = 942.19 × 596.07
  4. Step 4: Simplify right side
    631.71x = 561,609.70
  5. Step 5: Solve for x
    x = 561,609.70/631.71
  6. Step 6: Final answer
    x = 889.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.