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Finding the Fourth Proportional to 736.27, 1,016.10 and 589.96

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Solution

The fourth proportional to 736.27, 1,016.10 and 589.96 is: 814.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.27 : 1,016.10 = 589.96 : x
  2. Step 2: Convert to fraction form
    736.27/1,016.10 = 589.96/x
  3. Step 3: Cross multiply
    736.27x = 1,016.10 × 589.96
  4. Step 4: Simplify right side
    736.27x = 599,458.36
  5. Step 5: Solve for x
    x = 599,458.36/736.27
  6. Step 6: Final answer
    x = 814.18

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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.