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Finding the Fourth Proportional to 936.89, 1,405.19 and 589.15

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Solution

The fourth proportional to 936.89, 1,405.19 and 589.15 is: 883.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.89 : 1,405.19 = 589.15 : x
  2. Step 2: Convert to fraction form
    936.89/1,405.19 = 589.15/x
  3. Step 3: Cross multiply
    936.89x = 1,405.19 × 589.15
  4. Step 4: Simplify right side
    936.89x = 827,874.87
  5. Step 5: Solve for x
    x = 827,874.87/936.89
  6. Step 6: Final answer
    x = 883.65

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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.