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Finding the Fourth Proportional to 650.24, 894.72 and 546.56

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Solution

The fourth proportional to 650.24, 894.72 and 546.56 is: 752.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.24 : 894.72 = 546.56 : x
  2. Step 2: Convert to fraction form
    650.24/894.72 = 546.56/x
  3. Step 3: Cross multiply
    650.24x = 894.72 × 546.56
  4. Step 4: Simplify right side
    650.24x = 489,018.16
  5. Step 5: Solve for x
    x = 489,018.16/650.24
  6. Step 6: Final answer
    x = 752.06

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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.