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Finding the Fourth Proportional to 736.50, 1,016.30 and 421.70

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Solution

The fourth proportional to 736.50, 1,016.30 and 421.70 is: 581.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.50 : 1,016.30 = 421.70 : x
  2. Step 2: Convert to fraction form
    736.50/1,016.30 = 421.70/x
  3. Step 3: Cross multiply
    736.50x = 1,016.30 × 421.70
  4. Step 4: Simplify right side
    736.50x = 428,573.71
  5. Step 5: Solve for x
    x = 428,573.71/736.50
  6. Step 6: Final answer
    x = 581.91

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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.