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Finding the Fourth Proportional to 689.14, 950.34 and 632.23

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Solution

The fourth proportional to 689.14, 950.34 and 632.23 is: 871.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.14 : 950.34 = 632.23 : x
  2. Step 2: Convert to fraction form
    689.14/950.34 = 632.23/x
  3. Step 3: Cross multiply
    689.14x = 950.34 × 632.23
  4. Step 4: Simplify right side
    689.14x = 600,833.46
  5. Step 5: Solve for x
    x = 600,833.46/689.14
  6. Step 6: Final answer
    x = 871.86

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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.