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Finding the Fourth Proportional to 857.05, 1,284.16 and 675.25

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Solution

The fourth proportional to 857.05, 1,284.16 and 675.25 is: 1,011.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.05 : 1,284.16 = 675.25 : x
  2. Step 2: Convert to fraction form
    857.05/1,284.16 = 675.25/x
  3. Step 3: Cross multiply
    857.05x = 1,284.16 × 675.25
  4. Step 4: Simplify right side
    857.05x = 867,129.04
  5. Step 5: Solve for x
    x = 867,129.04/857.05
  6. Step 6: Final answer
    x = 1,011.76

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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.