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Finding the Fourth Proportional to 609.01, 909.66 and 522.59

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Solution

The fourth proportional to 609.01, 909.66 and 522.59 is: 780.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.01 : 909.66 = 522.59 : x
  2. Step 2: Convert to fraction form
    609.01/909.66 = 522.59/x
  3. Step 3: Cross multiply
    609.01x = 909.66 × 522.59
  4. Step 4: Simplify right side
    609.01x = 475,379.22
  5. Step 5: Solve for x
    x = 475,379.22/609.01
  6. Step 6: Final answer
    x = 780.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.