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Finding the Fourth Proportional to 1,323.06, 1,986.06 and 836.40

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Solution

The fourth proportional to 1,323.06, 1,986.06 and 836.40 is: 1,255.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.06 : 1,986.06 = 836.40 : x
  2. Step 2: Convert to fraction form
    1,323.06/1,986.06 = 836.40/x
  3. Step 3: Cross multiply
    1,323.06x = 1,986.06 × 836.40
  4. Step 4: Simplify right side
    1,323.06x = 1,661,140.58
  5. Step 5: Solve for x
    x = 1,661,140.58/1,323.06
  6. Step 6: Final answer
    x = 1,255.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.