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Finding the Fourth Proportional to 1,204.33, 1,662.09 and 732.12

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Solution

The fourth proportional to 1,204.33, 1,662.09 and 732.12 is: 1,010.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.33 : 1,662.09 = 732.12 : x
  2. Step 2: Convert to fraction form
    1,204.33/1,662.09 = 732.12/x
  3. Step 3: Cross multiply
    1,204.33x = 1,662.09 × 732.12
  4. Step 4: Simplify right side
    1,204.33x = 1,216,849.33
  5. Step 5: Solve for x
    x = 1,216,849.33/1,204.33
  6. Step 6: Final answer
    x = 1,010.40

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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.