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Finding the Fourth Proportional to 814.81, 1,124.54 and 465.57

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Solution

The fourth proportional to 814.81, 1,124.54 and 465.57 is: 642.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.81 : 1,124.54 = 465.57 : x
  2. Step 2: Convert to fraction form
    814.81/1,124.54 = 465.57/x
  3. Step 3: Cross multiply
    814.81x = 1,124.54 × 465.57
  4. Step 4: Simplify right side
    814.81x = 523,552.09
  5. Step 5: Solve for x
    x = 523,552.09/814.81
  6. Step 6: Final answer
    x = 642.54

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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.