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Finding the Fourth Proportional to 814.76, 1,223.37 and 700.45

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Solution

The fourth proportional to 814.76, 1,223.37 and 700.45 is: 1,051.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.76 : 1,223.37 = 700.45 : x
  2. Step 2: Convert to fraction form
    814.76/1,223.37 = 700.45/x
  3. Step 3: Cross multiply
    814.76x = 1,223.37 × 700.45
  4. Step 4: Simplify right side
    814.76x = 856,906.46
  5. Step 5: Solve for x
    x = 856,906.46/814.76
  6. Step 6: Final answer
    x = 1,051.73

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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.