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Finding the Fourth Proportional to 936.80, 1,403.64 and 589.28

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Solution

The fourth proportional to 936.80, 1,403.64 and 589.28 is: 882.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.80 : 1,403.64 = 589.28 : x
  2. Step 2: Convert to fraction form
    936.80/1,403.64 = 589.28/x
  3. Step 3: Cross multiply
    936.80x = 1,403.64 × 589.28
  4. Step 4: Simplify right side
    936.80x = 827,136.98
  5. Step 5: Solve for x
    x = 827,136.98/936.80
  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.