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Finding the Fourth Proportional to 598.68, 893.82 and 512.04

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Solution

The fourth proportional to 598.68, 893.82 and 512.04 is: 764.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.68 : 893.82 = 512.04 : x
  2. Step 2: Convert to fraction form
    598.68/893.82 = 512.04/x
  3. Step 3: Cross multiply
    598.68x = 893.82 × 512.04
  4. Step 4: Simplify right side
    598.68x = 457,671.59
  5. Step 5: Solve for x
    x = 457,671.59/598.68
  6. Step 6: Final answer
    x = 764.47

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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.