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Finding the Fourth Proportional to 873.69, 1,309.37 and 565.38

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Solution

The fourth proportional to 873.69, 1,309.37 and 565.38 is: 847.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.69 : 1,309.37 = 565.38 : x
  2. Step 2: Convert to fraction form
    873.69/1,309.37 = 565.38/x
  3. Step 3: Cross multiply
    873.69x = 1,309.37 × 565.38
  4. Step 4: Simplify right side
    873.69x = 740,288.78
  5. Step 5: Solve for x
    x = 740,288.78/873.69
  6. Step 6: Final answer
    x = 847.32

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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.