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Finding the Fourth Proportional to 1,109.44, 1,530.84 and 689.68

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Solution

The fourth proportional to 1,109.44, 1,530.84 and 689.68 is: 951.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.44 : 1,530.84 = 689.68 : x
  2. Step 2: Convert to fraction form
    1,109.44/1,530.84 = 689.68/x
  3. Step 3: Cross multiply
    1,109.44x = 1,530.84 × 689.68
  4. Step 4: Simplify right side
    1,109.44x = 1,055,789.73
  5. Step 5: Solve for x
    x = 1,055,789.73/1,109.44
  6. Step 6: Final answer
    x = 951.64

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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.