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Finding the Fourth Proportional to 647.65, 892.96 and 506.53

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Solution

The fourth proportional to 647.65, 892.96 and 506.53 is: 698.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.65 : 892.96 = 506.53 : x
  2. Step 2: Convert to fraction form
    647.65/892.96 = 506.53/x
  3. Step 3: Cross multiply
    647.65x = 892.96 × 506.53
  4. Step 4: Simplify right side
    647.65x = 452,311.03
  5. Step 5: Solve for x
    x = 452,311.03/647.65
  6. Step 6: Final answer
    x = 698.39

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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.