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Finding the Fourth Proportional to 1,403.70, 2,104.48 and 672.88

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Solution

The fourth proportional to 1,403.70, 2,104.48 and 672.88 is: 1,008.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.70 : 2,104.48 = 672.88 : x
  2. Step 2: Convert to fraction form
    1,403.70/2,104.48 = 672.88/x
  3. Step 3: Cross multiply
    1,403.70x = 2,104.48 × 672.88
  4. Step 4: Simplify right side
    1,403.70x = 1,416,062.50
  5. Step 5: Solve for x
    x = 1,416,062.50/1,403.70
  6. Step 6: Final answer
    x = 1,008.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.