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Finding the Fourth Proportional to 1,022.04, 1,409.04 and 812.92

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Solution

The fourth proportional to 1,022.04, 1,409.04 and 812.92 is: 1,120.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.04 : 1,409.04 = 812.92 : x
  2. Step 2: Convert to fraction form
    1,022.04/1,409.04 = 812.92/x
  3. Step 3: Cross multiply
    1,022.04x = 1,409.04 × 812.92
  4. Step 4: Simplify right side
    1,022.04x = 1,145,436.80
  5. Step 5: Solve for x
    x = 1,145,436.80/1,022.04
  6. Step 6: Final answer
    x = 1,120.74

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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.