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Finding the Fourth Proportional to 857.04, 1,181.28 and 620.16

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Solution

The fourth proportional to 857.04, 1,181.28 and 620.16 is: 854.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.04 : 1,181.28 = 620.16 : x
  2. Step 2: Convert to fraction form
    857.04/1,181.28 = 620.16/x
  3. Step 3: Cross multiply
    857.04x = 1,181.28 × 620.16
  4. Step 4: Simplify right side
    857.04x = 732,582.60
  5. Step 5: Solve for x
    x = 732,582.60/857.04
  6. Step 6: Final answer
    x = 854.78

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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.