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Finding the Fourth Proportional to 814.91, 1,124.60 and 465.59

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Solution

The fourth proportional to 814.91, 1,124.60 and 465.59 is: 642.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.91 : 1,124.60 = 465.59 : x
  2. Step 2: Convert to fraction form
    814.91/1,124.60 = 465.59/x
  3. Step 3: Cross multiply
    814.91x = 1,124.60 × 465.59
  4. Step 4: Simplify right side
    814.91x = 523,602.51
  5. Step 5: Solve for x
    x = 523,602.51/814.91
  6. Step 6: Final answer
    x = 642.53

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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.