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Finding the Fourth Proportional to 653.94, 984.44 and 597.44

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Solution

The fourth proportional to 653.94, 984.44 and 597.44 is: 899.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.94 : 984.44 = 597.44 : x
  2. Step 2: Convert to fraction form
    653.94/984.44 = 597.44/x
  3. Step 3: Cross multiply
    653.94x = 984.44 × 597.44
  4. Step 4: Simplify right side
    653.94x = 588,147.79
  5. Step 5: Solve for x
    x = 588,147.79/653.94
  6. Step 6: Final answer
    x = 899.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.