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Finding the Fourth Proportional to 675.46, 1,008.30 and 593.45

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Solution

The fourth proportional to 675.46, 1,008.30 and 593.45 is: 885.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.46 : 1,008.30 = 593.45 : x
  2. Step 2: Convert to fraction form
    675.46/1,008.30 = 593.45/x
  3. Step 3: Cross multiply
    675.46x = 1,008.30 × 593.45
  4. Step 4: Simplify right side
    675.46x = 598,375.64
  5. Step 5: Solve for x
    x = 598,375.64/675.46
  6. Step 6: Final answer
    x = 885.88

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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.