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Finding the Fourth Proportional to 1,403.01, 2,105.28 and 672.66

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Solution

The fourth proportional to 1,403.01, 2,105.28 and 672.66 is: 1,009.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.01 : 2,105.28 = 672.66 : x
  2. Step 2: Convert to fraction form
    1,403.01/2,105.28 = 672.66/x
  3. Step 3: Cross multiply
    1,403.01x = 2,105.28 × 672.66
  4. Step 4: Simplify right side
    1,403.01x = 1,416,137.64
  5. Step 5: Solve for x
    x = 1,416,137.64/1,403.01
  6. Step 6: Final answer
    x = 1,009.36

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