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Finding the Fourth Proportional to 668.68, 998.46 and 598.81

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Solution

The fourth proportional to 668.68, 998.46 and 598.81 is: 894.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.68 : 998.46 = 598.81 : x
  2. Step 2: Convert to fraction form
    668.68/998.46 = 598.81/x
  3. Step 3: Cross multiply
    668.68x = 998.46 × 598.81
  4. Step 4: Simplify right side
    668.68x = 597,884.84
  5. Step 5: Solve for x
    x = 597,884.84/668.68
  6. Step 6: Final answer
    x = 894.13

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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.