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Finding the Fourth Proportional to 1,201.08, 1,809.66 and 997.38

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Solution

The fourth proportional to 1,201.08, 1,809.66 and 997.38 is: 1,502.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.08 : 1,809.66 = 997.38 : x
  2. Step 2: Convert to fraction form
    1,201.08/1,809.66 = 997.38/x
  3. Step 3: Cross multiply
    1,201.08x = 1,809.66 × 997.38
  4. Step 4: Simplify right side
    1,201.08x = 1,804,918.69
  5. Step 5: Solve for x
    x = 1,804,918.69/1,201.08
  6. Step 6: Final answer
    x = 1,502.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.