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Finding the Fourth Proportional to 975.45, 1,346.24 and 644.56

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Solution

The fourth proportional to 975.45, 1,346.24 and 644.56 is: 889.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.45 : 1,346.24 = 644.56 : x
  2. Step 2: Convert to fraction form
    975.45/1,346.24 = 644.56/x
  3. Step 3: Cross multiply
    975.45x = 1,346.24 × 644.56
  4. Step 4: Simplify right side
    975.45x = 867,732.45
  5. Step 5: Solve for x
    x = 867,732.45/975.45
  6. Step 6: Final answer
    x = 889.57

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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.