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Finding the Fourth Proportional to 814.81, 1,219.40 and 502.34

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Solution

The fourth proportional to 814.81, 1,219.40 and 502.34 is: 751.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.81 : 1,219.40 = 502.34 : x
  2. Step 2: Convert to fraction form
    814.81/1,219.40 = 502.34/x
  3. Step 3: Cross multiply
    814.81x = 1,219.40 × 502.34
  4. Step 4: Simplify right side
    814.81x = 612,548.08
  5. Step 5: Solve for x
    x = 612,548.08/814.81
  6. Step 6: Final answer
    x = 751.77

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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.