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Finding the Fourth Proportional to 793.82, 1,189.65 and 589.16

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Solution

The fourth proportional to 793.82, 1,189.65 and 589.16 is: 882.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.82 : 1,189.65 = 589.16 : x
  2. Step 2: Convert to fraction form
    793.82/1,189.65 = 589.16/x
  3. Step 3: Cross multiply
    793.82x = 1,189.65 × 589.16
  4. Step 4: Simplify right side
    793.82x = 700,894.19
  5. Step 5: Solve for x
    x = 700,894.19/793.82
  6. Step 6: Final answer
    x = 882.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.