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Finding the Fourth Proportional to 609.80, 909.20 and 598.86

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Solution

The fourth proportional to 609.80, 909.20 and 598.86 is: 892.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.80 : 909.20 = 598.86 : x
  2. Step 2: Convert to fraction form
    609.80/909.20 = 598.86/x
  3. Step 3: Cross multiply
    609.80x = 909.20 × 598.86
  4. Step 4: Simplify right side
    609.80x = 544,483.51
  5. Step 5: Solve for x
    x = 544,483.51/609.80
  6. Step 6: Final answer
    x = 892.89

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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.