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Finding the Fourth Proportional to 1,065.42, 1,469.79 and 672.21

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Solution

The fourth proportional to 1,065.42, 1,469.79 and 672.21 is: 927.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.42 : 1,469.79 = 672.21 : x
  2. Step 2: Convert to fraction form
    1,065.42/1,469.79 = 672.21/x
  3. Step 3: Cross multiply
    1,065.42x = 1,469.79 × 672.21
  4. Step 4: Simplify right side
    1,065.42x = 988,007.54
  5. Step 5: Solve for x
    x = 988,007.54/1,065.42
  6. Step 6: Final answer
    x = 927.34

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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.