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Finding the Fourth Proportional to 1,201.78, 1,658.46 and 649.78

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Solution

The fourth proportional to 1,201.78, 1,658.46 and 649.78 is: 896.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.78 : 1,658.46 = 649.78 : x
  2. Step 2: Convert to fraction form
    1,201.78/1,658.46 = 649.78/x
  3. Step 3: Cross multiply
    1,201.78x = 1,658.46 × 649.78
  4. Step 4: Simplify right side
    1,201.78x = 1,077,634.99
  5. Step 5: Solve for x
    x = 1,077,634.99/1,201.78
  6. Step 6: Final answer
    x = 896.70

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1.5x scale

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.