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Finding the Fourth Proportional to 1,305.03, 1,947.74 and 1,128.55

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Solution

The fourth proportional to 1,305.03, 1,947.74 and 1,128.55 is: 1,684.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.03 : 1,947.74 = 1,128.55 : x
  2. Step 2: Convert to fraction form
    1,305.03/1,947.74 = 1,128.55/x
  3. Step 3: Cross multiply
    1,305.03x = 1,947.74 × 1,128.55
  4. Step 4: Simplify right side
    1,305.03x = 2,198,121.98
  5. Step 5: Solve for x
    x = 2,198,121.98/1,305.03
  6. Step 6: Final answer
    x = 1,684.35

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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.