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Finding the Fourth Proportional to 814.32, 1,122.26 and 689.58

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Solution

The fourth proportional to 814.32, 1,122.26 and 689.58 is: 950.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.32 : 1,122.26 = 689.58 : x
  2. Step 2: Convert to fraction form
    814.32/1,122.26 = 689.58/x
  3. Step 3: Cross multiply
    814.32x = 1,122.26 × 689.58
  4. Step 4: Simplify right side
    814.32x = 773,884.60
  5. Step 5: Solve for x
    x = 773,884.60/814.32
  6. Step 6: Final answer
    x = 950.34

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1.5x scale

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.