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Finding the Fourth Proportional to 1,323.51, 1,983.53 and 738.48

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Solution

The fourth proportional to 1,323.51, 1,983.53 and 738.48 is: 1,106.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.51 : 1,983.53 = 738.48 : x
  2. Step 2: Convert to fraction form
    1,323.51/1,983.53 = 738.48/x
  3. Step 3: Cross multiply
    1,323.51x = 1,983.53 × 738.48
  4. Step 4: Simplify right side
    1,323.51x = 1,464,793.54
  5. Step 5: Solve for x
    x = 1,464,793.54/1,323.51
  6. Step 6: Final answer
    x = 1,106.75

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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.