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Finding the Fourth Proportional to 1,232.34, 1,698.21 and 812.22

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Solution

The fourth proportional to 1,232.34, 1,698.21 and 812.22 is: 1,119.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.34 : 1,698.21 = 812.22 : x
  2. Step 2: Convert to fraction form
    1,232.34/1,698.21 = 812.22/x
  3. Step 3: Cross multiply
    1,232.34x = 1,698.21 × 812.22
  4. Step 4: Simplify right side
    1,232.34x = 1,379,320.13
  5. Step 5: Solve for x
    x = 1,379,320.13/1,232.34
  6. Step 6: Final answer
    x = 1,119.27

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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.