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Finding the Fourth Proportional to 814.65, 1,124.10 and 465.33

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Solution

The fourth proportional to 814.65, 1,124.10 and 465.33 is: 642.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.65 : 1,124.10 = 465.33 : x
  2. Step 2: Convert to fraction form
    814.65/1,124.10 = 465.33/x
  3. Step 3: Cross multiply
    814.65x = 1,124.10 × 465.33
  4. Step 4: Simplify right side
    814.65x = 523,077.45
  5. Step 5: Solve for x
    x = 523,077.45/814.65
  6. Step 6: Final answer
    x = 642.09

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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.