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Finding the Fourth Proportional to 657.62, 905.26 and 598.84

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Solution

The fourth proportional to 657.62, 905.26 and 598.84 is: 824.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.62 : 905.26 = 598.84 : x
  2. Step 2: Convert to fraction form
    657.62/905.26 = 598.84/x
  3. Step 3: Cross multiply
    657.62x = 905.26 × 598.84
  4. Step 4: Simplify right side
    657.62x = 542,105.90
  5. Step 5: Solve for x
    x = 542,105.90/657.62
  6. Step 6: Final answer
    x = 824.35

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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.