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Finding the Fourth Proportional to 657.78, 981.67 and 649.62

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Solution

The fourth proportional to 657.78, 981.67 and 649.62 is: 969.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.78 : 981.67 = 649.62 : x
  2. Step 2: Convert to fraction form
    657.78/981.67 = 649.62/x
  3. Step 3: Cross multiply
    657.78x = 981.67 × 649.62
  4. Step 4: Simplify right side
    657.78x = 637,709.22
  5. Step 5: Solve for x
    x = 637,709.22/657.78
  6. Step 6: Final answer
    x = 969.49

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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.