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Finding the Fourth Proportional to 830.96, 1,147.16 and 644.03

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Solution

The fourth proportional to 830.96, 1,147.16 and 644.03 is: 889.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.96 : 1,147.16 = 644.03 : x
  2. Step 2: Convert to fraction form
    830.96/1,147.16 = 644.03/x
  3. Step 3: Cross multiply
    830.96x = 1,147.16 × 644.03
  4. Step 4: Simplify right side
    830.96x = 738,796.50
  5. Step 5: Solve for x
    x = 738,796.50/830.96
  6. Step 6: Final answer
    x = 889.09

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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.