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Finding the Fourth Proportional to 1,180.17, 1,763.47 and 812.03

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Solution

The fourth proportional to 1,180.17, 1,763.47 and 812.03 is: 1,213.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.17 : 1,763.47 = 812.03 : x
  2. Step 2: Convert to fraction form
    1,180.17/1,763.47 = 812.03/x
  3. Step 3: Cross multiply
    1,180.17x = 1,763.47 × 812.03
  4. Step 4: Simplify right side
    1,180.17x = 1,431,982.74
  5. Step 5: Solve for x
    x = 1,431,982.74/1,180.17
  6. Step 6: Final answer
    x = 1,213.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.