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Finding the Fourth Proportional to 675.97, 1,009.06 and 593.96

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Solution

The fourth proportional to 675.97, 1,009.06 and 593.96 is: 886.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.97 : 1,009.06 = 593.96 : x
  2. Step 2: Convert to fraction form
    675.97/1,009.06 = 593.96/x
  3. Step 3: Cross multiply
    675.97x = 1,009.06 × 593.96
  4. Step 4: Simplify right side
    675.97x = 599,336.97
  5. Step 5: Solve for x
    x = 599,336.97/675.97
  6. Step 6: Final answer
    x = 886.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.