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Finding the Fourth Proportional to 814.37, 1,122.50 and 637.02

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Solution

The fourth proportional to 814.37, 1,122.50 and 637.02 is: 878.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.37 : 1,122.50 = 637.02 : x
  2. Step 2: Convert to fraction form
    814.37/1,122.50 = 637.02/x
  3. Step 3: Cross multiply
    814.37x = 1,122.50 × 637.02
  4. Step 4: Simplify right side
    814.37x = 715,056.54
  5. Step 5: Solve for x
    x = 715,056.54/814.37
  6. Step 6: Final answer
    x = 878.05

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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.