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Finding the Fourth Proportional to 606.60, 909.10 and 537.80

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Solution

The fourth proportional to 606.60, 909.10 and 537.80 is: 805.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.60 : 909.10 = 537.80 : x
  2. Step 2: Convert to fraction form
    606.60/909.10 = 537.80/x
  3. Step 3: Cross multiply
    606.60x = 909.10 × 537.80
  4. Step 4: Simplify right side
    606.60x = 488,913.98
  5. Step 5: Solve for x
    x = 488,913.98/606.60
  6. Step 6: Final answer
    x = 805.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.