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Finding the Fourth Proportional to 647.60, 892.65 and 496.53

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Solution

The fourth proportional to 647.60, 892.65 and 496.53 is: 684.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.60 : 892.65 = 496.53 : x
  2. Step 2: Convert to fraction form
    647.60/892.65 = 496.53/x
  3. Step 3: Cross multiply
    647.60x = 892.65 × 496.53
  4. Step 4: Simplify right side
    647.60x = 443,227.50
  5. Step 5: Solve for x
    x = 443,227.50/647.60
  6. Step 6: Final answer
    x = 684.42

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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.