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Finding the Fourth Proportional to 1,282.54, 1,923.81 and 734.34

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Solution

The fourth proportional to 1,282.54, 1,923.81 and 734.34 is: 1,101.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.54 : 1,923.81 = 734.34 : x
  2. Step 2: Convert to fraction form
    1,282.54/1,923.81 = 734.34/x
  3. Step 3: Cross multiply
    1,282.54x = 1,923.81 × 734.34
  4. Step 4: Simplify right side
    1,282.54x = 1,412,730.64
  5. Step 5: Solve for x
    x = 1,412,730.64/1,282.54
  6. Step 6: Final answer
    x = 1,101.51

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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.