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Finding the Fourth Proportional to 648.68, 967.03 and 596.84

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Solution

The fourth proportional to 648.68, 967.03 and 596.84 is: 889.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.68 : 967.03 = 596.84 : x
  2. Step 2: Convert to fraction form
    648.68/967.03 = 596.84/x
  3. Step 3: Cross multiply
    648.68x = 967.03 × 596.84
  4. Step 4: Simplify right side
    648.68x = 577,162.19
  5. Step 5: Solve for x
    x = 577,162.19/648.68
  6. Step 6: Final answer
    x = 889.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.