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Finding the Fourth Proportional to 838.06, 1,157.62 and 643.96

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Solution

The fourth proportional to 838.06, 1,157.62 and 643.96 is: 889.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.06 : 1,157.62 = 643.96 : x
  2. Step 2: Convert to fraction form
    838.06/1,157.62 = 643.96/x
  3. Step 3: Cross multiply
    838.06x = 1,157.62 × 643.96
  4. Step 4: Simplify right side
    838.06x = 745,460.98
  5. Step 5: Solve for x
    x = 745,460.98/838.06
  6. Step 6: Final answer
    x = 889.51

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Why These Related Problems?

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