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Finding the Fourth Proportional to 675.44, 933.24 and 559.28

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Solution

The fourth proportional to 675.44, 933.24 and 559.28 is: 772.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.44 : 933.24 = 559.28 : x
  2. Step 2: Convert to fraction form
    675.44/933.24 = 559.28/x
  3. Step 3: Cross multiply
    675.44x = 933.24 × 559.28
  4. Step 4: Simplify right side
    675.44x = 521,942.47
  5. Step 5: Solve for x
    x = 521,942.47/675.44
  6. Step 6: Final answer
    x = 772.74

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Why These Related Problems?

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