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Finding the Fourth Proportional to 814.96, 1,125.06 and 504.64

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Solution

The fourth proportional to 814.96, 1,125.06 and 504.64 is: 696.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.96 : 1,125.06 = 504.64 : x
  2. Step 2: Convert to fraction form
    814.96/1,125.06 = 504.64/x
  3. Step 3: Cross multiply
    814.96x = 1,125.06 × 504.64
  4. Step 4: Simplify right side
    814.96x = 567,750.28
  5. Step 5: Solve for x
    x = 567,750.28/814.96
  6. Step 6: Final answer
    x = 696.66

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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.