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Finding the Fourth Proportional to 736.58, 1,016.39 and 589.16

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Solution

The fourth proportional to 736.58, 1,016.39 and 589.16 is: 812.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.58 : 1,016.39 = 589.16 : x
  2. Step 2: Convert to fraction form
    736.58/1,016.39 = 589.16/x
  3. Step 3: Cross multiply
    736.58x = 1,016.39 × 589.16
  4. Step 4: Simplify right side
    736.58x = 598,808.30
  5. Step 5: Solve for x
    x = 598,808.30/736.58
  6. Step 6: Final answer
    x = 812.96

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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.