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Finding the Fourth Proportional to 1,173.44, 1,609.06 and 1,132.22

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Solution

The fourth proportional to 1,173.44, 1,609.06 and 1,132.22 is: 1,552.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.44 : 1,609.06 = 1,132.22 : x
  2. Step 2: Convert to fraction form
    1,173.44/1,609.06 = 1,132.22/x
  3. Step 3: Cross multiply
    1,173.44x = 1,609.06 × 1,132.22
  4. Step 4: Simplify right side
    1,173.44x = 1,821,809.91
  5. Step 5: Solve for x
    x = 1,821,809.91/1,173.44
  6. Step 6: Final answer
    x = 1,552.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.