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Finding the Fourth Proportional to 736.14, 1,015.30 and 470.66

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Solution

The fourth proportional to 736.14, 1,015.30 and 470.66 is: 649.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.14 : 1,015.30 = 470.66 : x
  2. Step 2: Convert to fraction form
    736.14/1,015.30 = 470.66/x
  3. Step 3: Cross multiply
    736.14x = 1,015.30 × 470.66
  4. Step 4: Simplify right side
    736.14x = 477,861.10
  5. Step 5: Solve for x
    x = 477,861.10/736.14
  6. Step 6: Final answer
    x = 649.14

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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.