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Finding the Fourth Proportional to 975.82, 1,346.67 and 533.75

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Solution

The fourth proportional to 975.82, 1,346.67 and 533.75 is: 736.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.82 : 1,346.67 = 533.75 : x
  2. Step 2: Convert to fraction form
    975.82/1,346.67 = 533.75/x
  3. Step 3: Cross multiply
    975.82x = 1,346.67 × 533.75
  4. Step 4: Simplify right side
    975.82x = 718,782.44
  5. Step 5: Solve for x
    x = 718,782.44/975.82
  6. Step 6: Final answer
    x = 736.59

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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.