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Finding the Fourth Proportional to 1,183.82, 1,632.84 and 810.26

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Solution

The fourth proportional to 1,183.82, 1,632.84 and 810.26 is: 1,117.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.82 : 1,632.84 = 810.26 : x
  2. Step 2: Convert to fraction form
    1,183.82/1,632.84 = 810.26/x
  3. Step 3: Cross multiply
    1,183.82x = 1,632.84 × 810.26
  4. Step 4: Simplify right side
    1,183.82x = 1,323,024.94
  5. Step 5: Solve for x
    x = 1,323,024.94/1,183.82
  6. Step 6: Final answer
    x = 1,117.59

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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.