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Finding the Fourth Proportional to 1,201.57, 1,658.24 and 677.63

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Solution

The fourth proportional to 1,201.57, 1,658.24 and 677.63 is: 935.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.57 : 1,658.24 = 677.63 : x
  2. Step 2: Convert to fraction form
    1,201.57/1,658.24 = 677.63/x
  3. Step 3: Cross multiply
    1,201.57x = 1,658.24 × 677.63
  4. Step 4: Simplify right side
    1,201.57x = 1,123,676.47
  5. Step 5: Solve for x
    x = 1,123,676.47/1,201.57
  6. Step 6: Final answer
    x = 935.18

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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.