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Finding the Fourth Proportional to 1,473.07, 2,032.62 and 843.50

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Solution

The fourth proportional to 1,473.07, 2,032.62 and 843.50 is: 1,163.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473.07 : 2,032.62 = 843.50 : x
  2. Step 2: Convert to fraction form
    1,473.07/2,032.62 = 843.50/x
  3. Step 3: Cross multiply
    1,473.07x = 2,032.62 × 843.50
  4. Step 4: Simplify right side
    1,473.07x = 1,714,514.97
  5. Step 5: Solve for x
    x = 1,714,514.97/1,473.07
  6. Step 6: Final answer
    x = 1,163.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.